Asymptote C

Time bar (total: 8.1s)

analyze3.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%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 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (14.3%)

Results
600.0ms4120×1valid
292.0ms4136×0valid
Precisions
Click to see histograms. Total time spent on operations: 573.0ms
ival-div: 218.0ms (38% of total)
ival-sub: 137.0ms (23.9% of total)
ival-add: 117.0ms (20.4% of total)
backward-pass: 87.0ms (15.2% of total)
const: 14.0ms (2.4% of total)
Bogosity

preprocess153.0ms (1.9%)

Algorithm
egg-herbie
Rules
2612×sum3-define
2376×fnmadd-define
2316×sum5-define
1714×fnmsub-define
1714×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
13244
28040
320739
459139
5172739
6463939
7684939
8750639
9798739
10798739
0713
11513
22313
34013
47513
513613
627113
759013
8170813
9491713
10592613
11634313
0634313
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Call 2
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+ (/ (- -1 x) (+ x -1)) (/ x (+ x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(fnmsub (+ x -1) (recip (+ x 1)) (/ x (- 1 x)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))
(fnmsub (+ x -1) (recip (- -1 x)) (/ x (+ x -1)))

explain122.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-0-(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
00-0-x
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
Results
63.0ms266×1valid
17.0ms246×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sub: 31.0ms (57.5% of total)
ival-div: 12.0ms (22.3% of total)
ival-add: 5.0ms (9.3% of total)
backward-pass: 5.0ms (9.3% of total)
const: 1.0ms (1.9% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

simplify110.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Rules
2316×sum5-define
1530×fnmadd-define
1412×sum4-define
1164×sum3-define
1004×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
11533
22333
34033
47533
513633
627133
759033
8170833
9491733
10592633
11634333
0634333
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (+ x 1) (- x 1))
(- x 1)
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ x 1) (- x 1))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(- x 1)
(+.f64 x #s(literal -1 binary64))

localize49.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
19.0ms133×1valid
8.0ms123×0valid
Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (40.7% of total)
ival-sub: 4.0ms (27.1% of total)
ival-add: 2.0ms (13.6% of total)
backward-pass: 2.0ms (13.6% of total)
const: 0.0ms (0% of total)

series2.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- x 1))>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms
x
@0
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms
x
@-inf
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms
x
@inf
(+ x 1)
0.0ms
x
@-inf
(/ (+ x 1) (- x 1))

rewrite380.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
4650×/-lowering-/.f32
4650×/-lowering-/.f64
2178×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
16228
272928
0815328
Stop Event
iter limit
node limit
Counts
4 → 352
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
(+ x 1)
(/ (+ x 1) (- x 1))
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
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(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))

simplify206.0ms (2.5%)

Algorithm
egg-herbie
Rules
1900×sum3-define
1716×sum4-define
1630×*-lowering-*.f32
1630×*-lowering-*.f64
1438×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095307
1288290
2724278
31876266
45360266
08068266
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

eval75.0ms (0.9%)

Compiler

Compiled 13570 to 1323 computations (90.3% saved)

prune99.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4429451
Fresh000
Picked011
Done000
Total44210452
Accuracy
100.0%
Counts
452 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
53.6%
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
52.7%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
53.2%
(/.f64 #s(literal -3 binary64) x)
52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
47.6%
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
48.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
47.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
47.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
47.6%
#s(literal 1 binary64)
Compiler

Compiled 178 to 119 computations (33.1% saved)

simplify175.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
cost-diff0
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
cost-diff0
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
Rules
1662×fma-lowering-fma.f32
1662×fma-lowering-fma.f64
1536×fmsub-define
1440×fnmsub-define
1356×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01899
13794
28494
331494
466294
5101894
6137094
7228392
8573392
0802392
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
-3
(/ (+ 1 (/ 3 x)) x)
(+ 1 (/ 3 x))
1
(/ 3 x)
3
x
1
(+ 1 (* 3 x))
1
(* 3 x)
3
x
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
x
(* (+ 1 (* 3 x)) (+ 1 (* x x)))
(+ 1 (* 3 x))
1
(* 3 x)
3
x
(+ 1 (* x x))
(* x x)
Outputs
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
-3
#s(literal -3 binary64)
(/ (+ 1 (/ 3 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(+ 1 (/ 3 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(/ (+ -3 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* (+ 1 (* 3 x)) (+ 1 (* x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)

localize123.0ms (1.5%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy99.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy99.9%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
accuracy99.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
accuracy100.0%
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
accuracy99.9%
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
Results
79.0ms231×0valid
7.0ms13×2valid
5.0ms12×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 26.0ms (56% of total)
ival-div: 10.0ms (21.6% of total)
ival-mult: 6.0ms (12.9% of total)
backward-pass: 2.0ms (4.3% of total)
const: 1.0ms (2.2% of total)
ival-sub: 1.0ms (2.2% of total)

series7.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)>
#<alt (- -3 (/ (+ 1 (/ 3 x)) x))>
#<alt (/ (+ 1 (/ 3 x)) x)>
#<alt (+ 1 (/ 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (/ (+ -3 (/ -1 x)) x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (* (+ 1 (* 3 x)) (+ 1 (* x x)))>
#<alt (+ 1 (* x x))>
#<alt (* x x)>
Outputs
#<alt (/ -3 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (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)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ 1 (* x x))
1.0ms
x
@-inf
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
0.0ms
x
@0
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
0.0ms
x
@-inf
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@0
(/ (+ 1 (/ 3 x)) x)

rewrite422.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
4732×/-lowering-/.f32
4732×/-lowering-/.f64
3598×*-lowering-*.f32
3598×*-lowering-*.f64
2094×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01874
112270
2118070
0845270
Stop Event
iter limit
node limit
Counts
12 → 593
Calls
Call 1
Inputs
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
(/ (+ 1 (/ 3 x)) x)
(+ 1 (/ 3 x))
(+ 1 (* 3 x))
(* 3 x)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
(/ -1 x)
(* (+ 1 (* 3 x)) (+ 1 (* x x)))
(+ 1 (* x x))
(* x x)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))))
(+.f64 (/.f64 #s(literal -3 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))) x) (/.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) x))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))) x))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))) x) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) x)) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))) x))
(-.f64 (/.f64 #s(literal -27 binary64) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) x))) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))))))
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) x)) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))))
(-.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (*.f64 x x)))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify208.0ms (2.6%)

Algorithm
egg-herbie
Rules
2794×*-lowering-*.f32
2794×*-lowering-*.f64
1574×+-lowering-+.f64
1574×+-lowering-+.f32
1478×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075754
1225701
2685684
32866676
08332676
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ 3 (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ 3 x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (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)
Outputs
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(/ 3 (pow x 2))
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(* 3 (pow x 3))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(* 3 (pow x 3))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 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)

eval155.0ms (1.9%)

Compiler

Compiled 21133 to 1910 computations (91% saved)

prune151.0ms (1.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New8152817
Fresh134
Picked055
Done011
Total81611827
Accuracy
100.0%
Counts
827 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
53.6%
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
52.7%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
53.2%
(/.f64 #s(literal -3 binary64) x)
52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
47.6%
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
48.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
47.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
47.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
2.8%
(*.f64 x #s(literal 3 binary64))
47.6%
#s(literal 1 binary64)
Compiler

Compiled 146 to 95 computations (34.9% saved)

simplify192.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 x #s(literal -1 binary64)))
cost-diff512
(-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff512
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(+.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (+.f64 x #s(literal 3 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal -3 binary64) x)
Rules
2288×+-lowering-+.f64
2288×+-lowering-+.f32
2086×sum3-define
1544×*-lowering-*.f32
1544×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021109
159108
2172104
3671102
4300191
0884091
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ -3 x)
-3
x
(* x 3)
x
3
(+ 1 (* x (+ x 3)))
1
(* x (+ x 3))
x
(+ x 3)
3
(- x (/ (+ x 1) (- x 1)))
x
(/ (+ x 1) (- x 1))
(+ x 1)
1
(- x 1)
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(* x (+ x -1))
x
(+ x -1)
-1
(* (+ x 1) (+ x 1))
(+ x 1)
1
(+ (* x x) -1)
(* x x)
Outputs
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ 1 (* x (+ x 3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* x (+ x 3))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
x
(+ x 3)
(+.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- x (/ (+ x 1) (- x 1)))
(+.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
x
(/ (+ x 1) (- x 1))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (+ x -1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ x 1) (+ x 1))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* x x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)

localize240.0ms (3%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (+.f64 x #s(literal -1 binary64)))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy71.4%
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
accuracy50.8%
(-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy100.0%
(-.f64 x #s(literal 1 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy100.0%
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy100.0%
(+.f64 x #s(literal 3 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
accuracy99.8%
(*.f64 x (+.f64 x #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy100.0%
(/.f64 #s(literal -3 binary64) x)
Results
92.0ms71×1valid
60.0ms71×2valid
20.0ms103×0valid
9.0ms11×3valid
Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-add: 20.0ms (28.3% of total)
ival-div: 15.0ms (21.2% of total)
ival-mult: 15.0ms (21.2% of total)
backward-pass: 12.0ms (17% of total)
ival-sub: 7.0ms (9.9% of total)
const: 1.0ms (1.4% of total)

series5.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ -3 x)>
#<alt (* x 3)>
#<alt (+ 1 (* x (+ x 3)))>
#<alt (* x (+ x 3))>
#<alt (+ x 3)>
#<alt (- x (/ (+ x 1) (- x 1)))>
#<alt (/ (+ x 1) (- x 1))>
#<alt (+ x 1)>
#<alt (- x 1)>
#<alt (/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))>
#<alt (- (* x (+ x -1)) (* (+ x 1) (+ x 1)))>
#<alt (* x (+ x -1))>
#<alt (+ x -1)>
#<alt (* (+ x 1) (+ x 1))>
Outputs
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 2 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 2 (* 2 x))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))) (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 2 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) x)) 1)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
0.0ms
x
@inf
(- x (/ (+ x 1) (- x 1)))
0.0ms
x
@-inf
(+ 1 (* x (+ x 3)))
0.0ms
x
@inf
(* x (+ x -1))
0.0ms
x
@-inf
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))

rewrite457.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
3692×/-lowering-/.f32
3692×/-lowering-/.f64
2814×*-lowering-*.f32
2814×*-lowering-*.f64
1880×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02181
116380
2159379
0879679
Stop Event
iter limit
node limit
Counts
14 → 815
Calls
Call 1
Inputs
(/ -3 x)
(* x 3)
(+ 1 (* x (+ x 3)))
(* x (+ x 3))
(+ x 3)
(- x (/ (+ x 1) (- x 1)))
(/ (+ x 1) (- x 1))
(+ x 1)
(- x 1)
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(* x (+ x -1))
(+ x -1)
(* (+ x 1) (+ x 1))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal -3 binary64)))))
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(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log1p.f64 x)))

simplify299.0ms (3.7%)

Algorithm
egg-herbie
Rules
2718×*-lowering-*.f32
2718×*-lowering-*.f64
1712×+-lowering-+.f64
1712×+-lowering-+.f32
1182×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127868
1398787
21118700
33206675
47981675
08369675
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 3 x)
(* x (+ 3 x))
(* x (+ 3 x))
(* x (+ 3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 2 x))))
(+ 1 (* x (+ 3 (* x (+ 2 (* 2 x))))))
x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))) (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (+ (/ 1 x) (/ 2 (pow x 2))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) x)) 1)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 3 (* x (+ 2 (* 2 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))) (/ 1 x)))
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (+ (/ 1 x) (/ 2 (pow x 2))) 1)))
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) x)) 1)))
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(- (* -3 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(- (* -3 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))

eval223.0ms (2.8%)

Compiler

Compiled 38895 to 3306 computations (91.5% saved)

prune183.0ms (2.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New111251117
Fresh000
Picked325
Done336
Total1118101128
Accuracy
100.0%
Counts
1128 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
52.7%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
52.9%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
53.2%
(/.f64 #s(literal -3 binary64) x)
46.6%
(-.f64 x #s(literal -1 binary64))
48.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
47.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
47.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
52.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
47.6%
#s(literal 1 binary64)
Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify183.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
cost-diff0
(/.f64 x #s(literal -3 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
(+.f64 (*.f64 x x) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(literal -3 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Rules
2056×fmsub-define
1898×fma-lowering-fma.f32
1898×fma-lowering-fma.f64
1776×fmm-def
1718×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02078
14572
28072
311572
416372
535372
663272
7126272
8408572
0816572
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ -1 (* -3 x)) (+ (* x x) -1))
(+ -1 (* -3 x))
-1
(* -3 x)
-3
x
(+ (* x x) -1)
(* x x)
(- x -1)
x
-1
(* (/ 1 x) -3)
(/ 1 x)
1
x
-3
(/ 1 (/ x -3))
1
(/ x -3)
x
-3
(+ 1 (* x (+ 3 (* x 2))))
1
(* x (+ 3 (* x 2)))
x
(+ 3 (* x 2))
3
(* x 2)
2
Outputs
(/ (+ -1 (* -3 x)) (+ (* x x) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(+ -1 (* -3 x))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(+ (* x x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(- x -1)
(+.f64 x #s(literal 1 binary64))
x
-1
#s(literal -1 binary64)
(* (/ 1 x) -3)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-3
#s(literal -3 binary64)
(/ 1 (/ x -3))
(/.f64 #s(literal -3 binary64) x)
1
#s(literal 1 binary64)
(/ x -3)
(/.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
(+ 1 (* x (+ 3 (* x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 3 (* x 2)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
x
(+ 3 (* x 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
3
#s(literal 3 binary64)
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize135.0ms (1.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy99.8%
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
accuracy100.0%
(/.f64 x #s(literal -3 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
accuracy100.0%
(-.f64 x #s(literal -1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal -3 binary64) x)
accuracy99.8%
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
accuracy71.4%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Results
57.0ms212×0valid
24.0ms25×1valid
11.0ms19×2valid
Compiler

Compiled 87 to 21 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 17.0ms (46.2% of total)
ival-div: 8.0ms (21.8% of total)
ival-add: 6.0ms (16.3% of total)
backward-pass: 3.0ms (8.2% of total)
ival-sub: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)

series5.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ (+ -1 (* -3 x)) (+ (* x x) -1))>
#<alt (+ -1 (* -3 x))>
#<alt (* -3 x)>
#<alt (+ (* x x) -1)>
#<alt (- x -1)>
#<alt (* (/ 1 x) -3)>
#<alt (/ 1 x)>
#<alt (/ 1 (/ x -3))>
#<alt (/ x -3)>
#<alt (+ 1 (* x (+ 3 (* x 2))))>
#<alt (* x (+ 3 (* x 2)))>
#<alt (+ 3 (* x 2))>
#<alt (* x 2)>
#<alt (* x x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 2 x))))>
#<alt (+ 1 (* x (+ 3 (* 2 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 x)))>
#<alt (* x (+ 3 (* 2 x)))>
#<alt (* x (+ 3 (* 2 x)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* 2 x))>
#<alt (+ 3 (* 2 x))>
#<alt (+ 3 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* x (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<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)>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ x -3)
0.0ms
x
@-inf
(/ x -3)
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@-inf
(+ 1 (* x (+ 3 (* x 2))))
0.0ms
x
@inf
(* x 2)

rewrite410.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
4112×*-lowering-*.f32
4112×*-lowering-*.f64
3852×/-lowering-/.f32
3852×/-lowering-/.f64
1672×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02063
113057
298757
0846757
Stop Event
iter limit
node limit
Counts
14 → 616
Calls
Call 1
Inputs
(/ (+ -1 (* -3 x)) (+ (* x x) -1))
(+ -1 (* -3 x))
(* -3 x)
(+ (* x x) -1)
(- x -1)
(* (/ 1 x) -3)
(/ 1 x)
(/ 1 (/ x -3))
(/ x -3)
(+ 1 (* x (+ 3 (* x 2))))
(* x (+ 3 (* x 2)))
(+ 3 (* x 2))
(* x 2)
(* x x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -3 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 81 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal 512 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 729 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)) (*.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)))))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -9 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify194.0ms (2.4%)

Algorithm
egg-herbie
Rules
1922×*-lowering-*.f32
1922×*-lowering-*.f64
1858×fma-lowering-fma.f32
1858×fma-lowering-fma.f64
1580×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066701
1203630
2555623
31476623
44072621
08442621
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 2 x))))
(+ 1 (* x (+ 3 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 3 x)
(* x (+ 3 (* 2 x)))
(* x (+ 3 (* 2 x)))
(* x (+ 3 (* 2 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
3
(+ 3 (* 2 x))
(+ 3 (* 2 x))
(+ 3 (* 2 x))
(* 2 x)
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* -3 x) 1)
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* -3 x) 1)
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ 3 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 3 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* 2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* 2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* 2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(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)

eval128.0ms (1.6%)

Compiler

Compiled 15160 to 1797 computations (88.1% saved)

prune110.0ms (1.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New7831784
Fresh000
Picked145
Done055
Total78410794
Accuracy
100.0%
Counts
794 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
52.7%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
52.8%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
53.2%
(/.f64 #s(literal -3 binary64) x)
46.6%
(-.f64 x #s(literal -1 binary64))
48.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
47.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
47.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
52.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
47.6%
#s(literal 1 binary64)
Compiler

Compiled 201 to 105 computations (47.8% saved)

regimes11.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes30.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(-.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
Outputs
(/.f64 #s(literal -3 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
Outputs
(/.f64 #s(literal -3 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
Outputs
(/.f64 #s(literal -3 binary64) x)
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -28.7b remaining (-85.5%)

Threshold costs -28.7b (-85.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
(-.f64 x #s(literal -1 binary64))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
47.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.4043215175502155e-12
Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.33552053620594813
3527736453.444757
12.0ms
-2048358.4798822096
-0.24462960909624054
Results
17.0ms304×0valid
Compiler

Compiled 436 to 314 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (51.9% of total)
ival-sub: 3.0ms (31.1% of total)
ival-add: 2.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
0.33552053620594813
3527736453.444757
12.0ms
-2048358.4798822096
-0.24462960909624054
Results
37.0ms304×0valid
Compiler

Compiled 360 to 276 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (53.3% of total)
ival-sub: 3.0ms (32% of total)
ival-add: 2.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.33552053620594813
3527736453.444757
16.0ms
-2048358.4798822096
-0.24462960909624054
Results
16.0ms304×0valid
Compiler

Compiled 284 to 219 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.5% of total)
ival-sub: 3.0ms (31.9% of total)
ival-add: 2.0ms (21.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.33552053620594813
3527736453.444757
30.0ms
-2048358.4798822096
-0.24462960909624054
Results
33.0ms304×0valid
Compiler

Compiled 246 to 200 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 22.0ms (82.8% of total)
ival-sub: 3.0ms (11.3% of total)
ival-add: 2.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.33552053620594813
3527736453.444757
22.0ms
-2048358.4798822096
-0.24462960909624054
Results
26.0ms304×0valid
Compiler

Compiled 208 to 162 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 14.0ms (75.1% of total)
ival-sub: 3.0ms (16.1% of total)
ival-add: 2.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify32.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042136
169136
282136
3101136
4112136
5116136
6117136
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

soundness1.4s (17%)

Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
4650×/-lowering-/.f32
4650×/-lowering-/.f64
2718×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127868
1398787
21118700
33206675
47981675
08369675
095307
1288290
2724278
31876266
45360266
08068266
0728
16228
272928
0815328
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 273 to 125 computations (54.2% saved)

preprocess61.0ms (0.8%)

Compiler

Compiled 338 to 100 computations (70.4% saved)

end0.0ms (0%)

Profiling

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