Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D

Time bar (total: 6.4s)

analyze7.0ms (0.1%)

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 19 to 15 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
...c/correct-round.rkt:119:19: 2.0ms (49.3% of total)
ival-add: 1.0ms (24.7% of total)
ival-mult: 1.0ms (24.7% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (29%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
...c/correct-round.rkt:119:19: 490.0ms (47.3% of total)
ival-mult: 278.0ms (26.8% of total)
ival-add: 135.0ms (13% of total)
ival-div: 59.0ms (5.7% of total)
ival-sub: 59.0ms (5.7% of total)
const: 12.0ms (1.2% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess347.0ms (5.5%)

Algorithm
egg-herbie
Rules
2462×fnmadd-define
2194×sum3-define
2112×fnmadd-define
1820×sum5-define
1728×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15145
214743
342142
4131342
5361242
6726042
01417
12414
24614
310314
422414
547614
6128314
7257614
8527214
0800814
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Call 2
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))))
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+ x (/ (fnmsub x -27061/100000 -230753/100000) (fnmsub x (fma x 4481/100000 99229/100000) 1)))
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))
(- (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x -4481/100000 99229/100000) 1)) x)
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))))
(+ x (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x 4481/100000 -99229/100000) -1)))

explain220.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
00-0-#s(literal 230753/100000 binary64)
00-0-x
00-0-(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
00-0-#s(literal 4481/100000 binary64)
00-0-#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 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-#s(literal 99229/100000 binary64)
00-0-(*.f64 x #s(literal 4481/100000 binary64))
Results
142.0ms512×0valid
Compiler

Compiled 162 to 44 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 40.0ms (48.5% of total)
...c/correct-round.rkt:119:19: 27.0ms (32.7% of total)
ival-add: 8.0ms (9.7% of total)
ival-div: 4.0ms (4.8% of total)
ival-sub: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify159.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 27061/100000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Rules
2280×sum5-define
1854×fnmadd-define
1650×fmsub-define
1538×fnmsub-define
1456×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01470
13462
28659
320159
453159
5125559
6303059
7473059
8718259
0834059
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
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
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(+.f64 x (/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+ 230753/100000 (* x 27061/100000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
(- 1 (* x (+ -99229/100000 (* x -4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -99229/100000 (* x -4481/100000)))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(+ -99229/100000 (* x -4481/100000))
(+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))
-99229/100000
#s(literal -99229/100000 binary64)
(* x -4481/100000)
(*.f64 x #s(literal -4481/100000 binary64))
-4481/100000
#s(literal -4481/100000 binary64)

localize125.0ms (2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
accuracy99.4%
(*.f64 x #s(literal -4481/100000 binary64))
accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
accuracy74.6%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
Results
74.0ms256×0valid
Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
...c/correct-round.rkt:119:19: 14.0ms (51.8% of total)
ival-mult: 6.0ms (22.2% of total)
ival-sub: 3.0ms (11.1% of total)
ival-add: 3.0ms (11.1% of total)
ival-div: 2.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (* x 27061/100000)>
#<alt (* x -4481/100000)>
#<alt (* x (+ -99229/100000 (* x -4481/100000)))>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 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)>
#<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 (* -99229/100000 x)>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
Calls

18 calls:

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

rewrite347.0ms (5.5%)

Algorithm
batch-egg-rewrite
Rules
5100×*-lowering-*.f32
5100×*-lowering-*.f64
2850×/-lowering-/.f32
2850×/-lowering-/.f64
2042×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01450
19444
288642
0886342
Stop Event
iter limit
node limit
Counts
6 → 233
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
(* x 27061/100000)
(* x -4481/100000)
(* x (+ -99229/100000 (* x -4481/100000)))
Outputs
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(-.f64 #s(literal 0 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))
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(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))))
(*.f64 (+.f64 (*.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x #s(literal -99229/100000 binary64)))))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(*.f64 (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))

simplify256.0ms (4%)

Algorithm
egg-herbie
Rules
2424×*-lowering-*.f32
2424×*-lowering-*.f64
2240×/-lowering-/.f32
2240×/-lowering-/.f64
1826×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125417
1378382
2993378
32708358
08879358
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -99229/100000 x)
(* x (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(-.f64 x (/.f64 (+.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))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 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)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4481/100000 binary64))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4481/100000 binary64))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))

eval73.0ms (1.1%)

Compiler

Compiled 10914 to 1008 computations (90.8% saved)

prune52.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2996305
Fresh000
Picked101
Done000
Total3006306
Accuracy
100.0%
Counts
306 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
55.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
99.6%
(-.f64 x #s(literal 230753/100000 binary64))
55.6%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
55.6%
x
47.8%
#s(literal -230753/100000 binary64)
Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify33.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff0
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
cost-diff0
(-.f64 x #s(literal 230753/100000 binary64))
Rules
216×fnmadd-define
192×fma-lowering-fma.f32
192×fnmsub-define
192×fmsub-define
192×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22927
33927
45227
510027
617127
731827
848427
959527
1069327
1174927
1277727
1379827
1481227
1581627
081627
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x 230753/100000)
x
230753/100000
-230753/100000
x
(+ (* 30191289437/10000000000 x) -230753/100000)
(* 30191289437/10000000000 x)
30191289437/10000000000
x
-230753/100000
(- x (/ 27061/4481 x))
x
(/ 27061/4481 x)
27061/4481
Outputs
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
230753/100000
#s(literal 230753/100000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
x
(+ (* 30191289437/10000000000 x) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
x
-230753/100000
#s(literal -230753/100000 binary64)
(- x (/ 27061/4481 x))
(-.f64 x (/.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)

localize79.0ms (1.2%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy100.0%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
accuracy99.5%
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
accuracy100.0%
(-.f64 x #s(literal 230753/100000 binary64))
Results
66.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:119:19: 18.0ms (63.6% of total)
ival-sub: 5.0ms (17.7% of total)
ival-div: 2.0ms (7.1% of total)
ival-mult: 2.0ms (7.1% of total)
ival-add: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- x 230753/100000)>
#<alt (+ (* 30191289437/10000000000 x) -230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (- x (/ 27061/4481 x))>
#<alt (/ 27061/4481 x)>
Outputs
#<alt -230753/100000>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (/ -27061/4481 x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<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)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 27061/4481 x)
0.0ms
x
@0
(/ 27061/4481 x)
0.0ms
x
@-inf
(* 30191289437/10000000000 x)
0.0ms
x
@inf
(* 30191289437/10000000000 x)
0.0ms
x
@0
(- x (/ 27061/4481 x))

rewrite325.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
3018×*-lowering-*.f32
3018×*-lowering-*.f64
2666×/-lowering-/.f32
2666×/-lowering-/.f64
1390×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
16418
249918
3630218
0813218
Stop Event
iter limit
node limit
Counts
5 → 199
Calls
Call 1
Inputs
(- x 230753/100000)
(+ (* 30191289437/10000000000 x) -230753/100000)
(* 30191289437/10000000000 x)
(- x (/ 27061/4481 x))
(/ 27061/4481 x)
Outputs
(+.f64 x #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (neg.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64)))))
(-.f64 x #s(literal 230753/100000 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal -230753/100000 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 53246947009/10000000000 binary64)) (+.f64 x #s(literal 230753/100000 binary64))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -230753/100000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))) (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -230753/100000 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (+.f64 x #s(literal 230753/100000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -230753/100000 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 12286892763167777/1000000000000000 binary64)) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 53246947009/10000000000 binary64)) (+.f64 #s(literal -230753/100000 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -2835237365779254046081/100000000000000000000 binary64)) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))) #s(literal 12286892763167777/1000000000000000 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 x #s(literal 230753/100000 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64)))) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (+.f64 x #s(literal 230753/100000 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -2835237365779254046081/100000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) (+.f64 x #s(literal 230753/100000 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 53246947009/10000000000 binary64))) (neg.f64 (+.f64 #s(literal -230753/100000 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64)))))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) (-.f64 #s(literal -230753/100000 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64)))) (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 230753/100000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 392701940846296607456136361/8095611589928196122881 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 536259952181793841/403180738168321 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))))
(/.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal -27061/4481 binary64) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))) (*.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))) (*.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 7782059939393690265947066921031556117141/728407644889815871069003384462721 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 392701940846296607456136361/8095611589928196122881 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 392701940846296607456136361/8095611589928196122881 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 536259952181793841/403180738168321 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))) (+.f64 (*.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))))
(*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)) (*.f64 (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))))
(*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)) (/.f64 (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)))
(*.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal -732297721/20079361 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(*.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(*.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (/.f64 (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x)))))
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (+.f64 (*.f64 x x) (/.f64 #s(literal -732297721/20079361 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal -732297721/20079361 binary64) (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 #s(literal -732297721/20079361 binary64) (*.f64 x x)))) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x) (*.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x) (-.f64 (/.f64 (*.f64 #s(literal 27061/4481 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) x) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal -732297721/20079361 binary64) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) (/.f64 x #s(literal 27061/4481 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 27061/4481 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -27061/4481 binary64) x))
(neg.f64 (/.f64 #s(literal -27061/4481 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -27061/4481 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 27061/4481 binary64) x)
(/.f64 #s(literal -27061/4481 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 27061/4481 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4481/27061 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -27061/4481 binary64)))
(pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -27061/4481 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 27061/4481 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -27061/4481 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1/2 binary64)))

simplify164.0ms (2.6%)

Algorithm
egg-herbie
Rules
1910×fma-lowering-fma.f32
1910×fma-lowering-fma.f64
1716×fnmsub-define
1520×*-lowering-*.f32
1520×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036213
195204
2217195
3494195
41577195
54285195
67273195
08258195
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
-230753/100000
(- x 230753/100000)
(- x 230753/100000)
(- x 230753/100000)
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(/ -27061/4481 x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(/ 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)
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)

eval59.0ms (0.9%)

Compiler

Compiled 5532 to 611 computations (89% saved)

prune59.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2581259
Fresh101
Picked055
Done000
Total2596265
Accuracy
100.0%
Counts
265 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
55.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
99.6%
(-.f64 x #s(literal 230753/100000 binary64))
55.6%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
55.6%
x
47.8%
#s(literal -230753/100000 binary64)
Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
cost-diff0
(+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
Rules
18×*-lowering-*.f32
18×*-lowering-*.f64
12×fma-lowering-fma.f32
12×fma-define
12×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01135
11933
22633
32733
02733
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
(+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)
(* (* x x) 911513957868707776969/100000000000000000000)
(* x x)
x
911513957868707776969/100000000000000000000
-53246947009/10000000000
(+ 230753/100000 (* x 30191289437/10000000000))
230753/100000
(* x 30191289437/10000000000)
30191289437/10000000000
Outputs
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* (* x x) 911513957868707776969/100000000000000000000)
(*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))
(* x x)
(*.f64 x x)
x
911513957868707776969/100000000000000000000
#s(literal 911513957868707776969/100000000000000000000 binary64)
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(+ 230753/100000 (* x 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 30191289437/10000000000)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)

localize119.0ms (1.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
accuracy99.5%
(*.f64 x #s(literal 30191289437/10000000000 binary64))
accuracy73.5%
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
Results
105.0ms256×0valid
Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
...c/correct-round.rkt:119:19: 63.0ms (75.3% of total)
ival-div: 12.0ms (14.3% of total)
ival-mult: 6.0ms (7.2% of total)
ival-add: 3.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))>
#<alt (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)>
#<alt (* (* x x) 911513957868707776969/100000000000000000000)>
#<alt (* x x)>
#<alt (* x 30191289437/10000000000)>
#<alt (+ 230753/100000 (* x 30191289437/10000000000))>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt -53246947009/10000000000>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 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 (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@0
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@inf
(* (* x x) 911513957868707776969/100000000000000000000)
0.0ms
x
@-inf
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@0
(* (* x x) 911513957868707776969/100000000000000000000)

rewrite332.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
4218×*-lowering-*.f32
4218×*-lowering-*.f64
2018×/-lowering-/.f32
2018×/-lowering-/.f64
1368×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
15824
245222
3511322
0872422
Stop Event
iter limit
node limit
Counts
6 → 336
Calls
Call 1
Inputs
(/ (+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (+ 230753/100000 (* x 30191289437/10000000000)))
(+ (* (* x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)
(* (* x x) 911513957868707776969/100000000000000000000)
(* x x)
(* x 30191289437/10000000000)
(+ 230753/100000 (* x 30191289437/10000000000))
Outputs
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64))))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64))))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))) (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))) #s(literal -53246947009/10000000000 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))) #s(literal -53246947009/10000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))) (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64)))) #s(literal 53246947009/10000000000 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal 6966730611456061/1000000000000000 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal 6966730611456061/1000000000000000 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64)))) #s(literal 53246947009/10000000000 binary64)))
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simplify147.0ms (2.3%)

Algorithm
egg-herbie
Rules
1506×*-lowering-*.f32
1506×*-lowering-*.f64
1360×fma-lowering-fma.f32
1360×fma-lowering-fma.f64
1312×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029292
178248
2175248
3409248
4738248
51230248
62542248
75575248
87958248
08256248
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
230753/100000
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))

eval58.0ms (0.9%)

Compiler

Compiled 10894 to 967 computations (91.1% saved)

prune65.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4071408
Fresh000
Picked101
Done055
Total4086414
Accuracy
100.0%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.2%
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
55.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
99.6%
(-.f64 x #s(literal 230753/100000 binary64))
55.6%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
55.6%
x
47.8%
#s(literal -230753/100000 binary64)
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 30191289437/10000000000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
cost-diff0
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
1917
21117
01117
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
-53246947009/10000000000
(+ 230753/100000 (* x 30191289437/10000000000))
230753/100000
(* x 30191289437/10000000000)
x
30191289437/10000000000
Outputs
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(+ 230753/100000 (* x 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 30191289437/10000000000)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
x
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)

localize42.0ms (0.7%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
accuracy99.5%
(*.f64 x #s(literal 30191289437/10000000000 binary64))
accuracy99.0%
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
Results
33.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
...c/correct-round.rkt:119:19: 10.0ms (63.8% of total)
ival-div: 2.0ms (12.8% of total)
ival-mult: 2.0ms (12.8% of total)
ival-add: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x 30191289437/10000000000))>
#<alt (* x 30191289437/10000000000)>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -911513957868707776969/230753000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 27519781727879580139643921576453/5324694700900000000000000000000 x) 911513957868707776969/230753000000000000000)))) 230753/100000)>
#<alt (/ -53246947009/30191289437 x)>
#<alt (/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x)>
#<alt (/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3)))) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)>
#<alt (/ -53246947009/30191289437 x)>
#<alt (* -1 (/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (- 1228689276316777700000/911513957868707776969 (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (+ 1228689276316777700000/911513957868707776969 (* -1 (/ (- 28352373657792540460810000000000/27519781727879580139643921576453 (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x))) x))) x))) 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 (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@inf
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@0
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
0.0ms
x
@inf
(+ 230753/100000 (* x 30191289437/10000000000))
0.0ms
x
@0
(+ 230753/100000 (* x 30191289437/10000000000))

rewrite413.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
4644×/-lowering-/.f32
4644×/-lowering-/.f64
4052×*-lowering-*.f32
4052×*-lowering-*.f64
1722×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
13213
222713
3204613
0913613
Stop Event
iter limit
node limit
Counts
3 → 313
Calls
Call 1
Inputs
(/ -53246947009/10000000000 (+ 230753/100000 (* x 30191289437/10000000000)))
(+ 230753/100000 (* x 30191289437/10000000000))
(* x 30191289437/10000000000)
Outputs
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(*.f64 (/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 830857695389476376278026514432421846826961/10000000000000000000000000000000000000000 binary64))) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -911513957868707776969/100000000000000000000 binary64))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal 6966730611456061/1000000000000000 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 830857695389476376278026514432421846826961/10000000000000000000000000000000000000000 binary64))) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -911513957868707776969/100000000000000000000 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64)) #s(literal -12286892763167777/1000000000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))))) (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal 6966730611456061/1000000000000000 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 830857695389476376278026514432421846826961/10000000000000000000000000000000000000000 binary64))) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -911513957868707776969/100000000000000000000 binary64))) (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -911513957868707776969/100000000000000000000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 830857695389476376278026514432421846826961/10000000000000000000000000000000000000000 binary64))) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -911513957868707776969/100000000000000000000 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))))) (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(*.f64 #s(literal 30191289437/10000000000 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 30191289437/10000000000 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 30191289437/10000000000 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 30191289437/10000000000 binary64))) (exp.f64 (log.f64 x)))

simplify157.0ms (2.5%)

Algorithm
egg-herbie
Rules
1842×*-lowering-*.f32
1842×*-lowering-*.f64
1798×fnmadd-define
1788×fmsub-define
1748×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068196
1205177
2479175
3966173
42996173
08235173
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -911513957868707776969/230753000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 27519781727879580139643921576453/5324694700900000000000000000000 x) 911513957868707776969/230753000000000000000)))) 230753/100000)
(/ -53246947009/30191289437 x)
(/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x)
(/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)
(/ (- (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3)))) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)
(/ -53246947009/30191289437 x)
(* -1 (/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x))
(* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (- 1228689276316777700000/911513957868707776969 (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x))) x))) x))
(* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (+ 1228689276316777700000/911513957868707776969 (* -1 (/ (- 28352373657792540460810000000000/27519781727879580139643921576453 (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x))) x))) x))) x))
230753/100000
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -911513957868707776969/230753000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -911513957868707776969/230753000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 27519781727879580139643921576453/5324694700900000000000000000000 x) 911513957868707776969/230753000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -911513957868707776969/230753000000000000000 binary64) (*.f64 x #s(literal 27519781727879580139643921576453/5324694700900000000000000000000 binary64)))))) #s(literal -230753/100000 binary64))
(/ -53246947009/30191289437 x)
(/.f64 #s(literal -53246947009/30191289437 binary64) x)
(/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x)
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) x)) x)
(/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64) x)) x)) x)
(/ (- (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3)))) (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 (+.f64 (/.f64 #s(literal 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 binary64) x) #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64)) x)) x)) x)
(/ -53246947009/30191289437 x)
(/.f64 #s(literal -53246947009/30191289437 binary64) x)
(* -1 (/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) x)) x)
(* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (- 1228689276316777700000/911513957868707776969 (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64) x)) x)) x)
(* -1 (/ (+ 53246947009/30191289437 (* -1 (/ (+ 1228689276316777700000/911513957868707776969 (* -1 (/ (- 28352373657792540460810000000000/27519781727879580139643921576453 (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 (+.f64 (/.f64 #s(literal 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 binary64) x) #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64)) x)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal 230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)

eval42.0ms (0.7%)

Compiler

Compiled 10165 to 1075 computations (89.4% saved)

prune42.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3481349
Fresh000
Picked011
Done055
Total3487355
Accuracy
100.0%
Counts
355 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.2%
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
47.1%
(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal 230753/100000 binary64))
55.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
99.6%
(-.f64 x #s(literal 230753/100000 binary64))
55.6%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
55.6%
x
47.8%
#s(literal -230753/100000 binary64)
Compiler

Compiled 130 to 74 computations (43.1% saved)

regimes9.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 230753/100000 binary64))
(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 230753/100000 binary64))
(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
Outputs
(-.f64 x #s(literal 230753/100000 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
Outputs
x
#s(literal -230753/100000 binary64)
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
Outputs
#s(literal -230753/100000 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
47.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch77.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
2.0267383395991314e-15
1513501.1443583441
40.0ms
-52675768149459620.0
-1.107356836747944e-16
Results
55.0ms352×0valid
Compiler

Compiled 154 to 127 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
...c/correct-round.rkt:119:19: 24.0ms (55.8% of total)
ival-mult: 9.0ms (20.9% of total)
ival-add: 5.0ms (11.6% of total)
ival-div: 2.0ms (4.6% of total)
ival-sub: 2.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
76×unsub-neg_binary64
64×neg-mul-1_binary64
50×*-commutative_binary64
38×+-commutative_binary64
36×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02232
13832
24932
36432
49132
511332
616532
724232
826532
927532
1027632
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) x (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) x (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness630.0ms (9.9%)

Rules
2462×fnmadd-define
2424×*-lowering-*.f32
2424×*-lowering-*.f64
2240×/-lowering-/.f32
2240×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125417
1378382
2993378
32708358
08879358
01417
12414
24614
310314
422414
547614
6128314
7257614
8527214
0800814
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 115 to 86 computations (25.2% saved)

preprocess32.0ms (0.5%)

Compiler

Compiled 102 to 72 computations (29.4% saved)

end0.0ms (0%)

Profiling

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