2frac (problem 3.3.1)

Time bar (total: 7.1s)

analyze14.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%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 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 12.0ms (97.2% 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)

sample1.0s (14.7%)

Results
523.0ms3978×1valid
297.0ms4278×0valid
Precisions
Click to see histograms. Total time spent on operations: 433.0ms
ival-div: 196.0ms (45.3% of total)
ival-add: 91.0ms (21% of total)
ival-sub: 67.0ms (15.5% of total)
backward-pass: 63.0ms (14.5% of total)
const: 16.0ms (3.7% of total)
Bogosity

preprocess80.0ms (1.1%)

Algorithm
egg-herbie
Rules
248×fnmadd-define
228×fmsub-define
224×fnmsub-define
178×fmm-def
172×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13422
26922
314121
430421
554121
679321
792021
897521
998621
067
1157
2237
3357
4497
5867
61597
72717
83967
95917
106907
116967
06967
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 x))
Outputs
(- (/ 1 (+ x 1)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
Call 2
Inputs
(- (/ 1 (+ x 1)) (/ 1 x))
(- (/ 1 (+ (neg x) 1)) (/ 1 (neg x)))
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (neg x))))
Outputs
(- (/ 1 (+ x 1)) (/ 1 x))
(- (recip (+ 1 x)) (recip x))
(- (/ 1 (+ (neg x) 1)) (/ 1 (neg x)))
(+ (recip x) (recip (- 1 x)))
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (neg x))))
(- (recip (+ x -1)) (recip x))

explain103.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
Results
50.0ms246×1valid
21.0ms266×0valid
Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 13.0ms (41.3% of total)
backward-pass: 6.0ms (19.1% of total)
ival-add: 5.0ms (15.9% of total)
ival-sub: 5.0ms (15.9% of total)
const: 1.0ms (3.2% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify23.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Rules
172×fnmadd-define
154×sum3-define
128×fma-lowering-fma.f32
128×fnmsub-define
128×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11518
22318
33518
44918
58618
615918
727118
839618
959118
1069018
1169618
069618
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 x))
(/ 1 (+ x 1))
1
(+ x 1)
x
(/ 1 x)
Outputs
(- (/ 1 (+ x 1)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

localize49.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy75.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
22.0ms123×1valid
15.0ms133×0valid
Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (44.6% of total)
ival-add: 3.0ms (22.3% of total)
backward-pass: 3.0ms (22.3% of total)
ival-sub: 2.0ms (14.9% of total)
const: 1.0ms (7.4% of total)

series2.0ms (0%)

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

12 calls:

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

rewrite289.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
2778×*-lowering-*.f32
2778×*-lowering-*.f64
2690×/-lowering-/.f32
2690×/-lowering-/.f64
1346×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
15916
259016
3667016
0801116
Stop Event
iter limit
node limit
Counts
4 → 289
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 x))
(/ 1 (+ x 1))
(+ x 1)
(/ 1 x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) x)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
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(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #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 x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.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 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.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 x) (+.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))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 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 x) (+.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))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.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 (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify319.0ms (4.5%)

Algorithm
egg-herbie
Rules
2138×*-lowering-*.f32
2138×*-lowering-*.f64
1688×--lowering--.f32
1688×--lowering--.f64
1596×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
053264
1164239
2402233
31207226
44310224
56415223
67802223
08048223
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(*.f64 (/.f64 (+.f64 #s(literal -1 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)
(+ 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 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)

eval37.0ms (0.5%)

Compiler

Compiled 8462 to 914 computations (89.2% saved)

prune90.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3307337
Fresh000
Picked011
Done000
Total3308338
Accuracy
98.9%
Counts
338 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) x)
76.0%
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
48.5%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
52.0%
(/.f64 #s(literal -1 binary64) x)
75.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
51.1%
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
50.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 126 to 84 computations (33.3% saved)

simplify177.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
cost-diff256
(+.f64 x (-.f64 #s(literal -1 binary64) x))
Rules
2340×*-lowering-*.f32
2340×*-lowering-*.f64
1364×sum3-define
1260×--lowering--.f32
1260×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01576
14074
28054
325454
460054
5158954
6659954
0872154
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ x (- -1 x)) (* x (+ 1 x)))
(+ x (- -1 x))
x
(- -1 x)
-1
(* x (+ 1 x))
(+ 1 x)
1
(/ -1 x)
-1
x
(- 1 (/ 1 x))
1
(/ 1 x)
x
(/ -1 (* x x))
-1
(* x x)
x
(- (- 1 x) (/ 1 x))
(- 1 x)
1
x
(/ 1 x)
Outputs
(/ (+ x (- -1 x)) (* x (+ 1 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ x (- -1 x))
#s(literal -1 binary64)
x
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(- (- 1 x) (/ 1 x))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

localize140.0ms (2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy98.7%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy98.8%
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy53.8%
(+.f64 x (-.f64 #s(literal -1 binary64) x))
Results
65.0ms118×1valid
29.0ms138×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 12.0ms (32.7% of total)
ival-sub: 8.0ms (21.8% of total)
backward-pass: 6.0ms (16.4% of total)
ival-mult: 5.0ms (13.6% of total)
ival-add: 4.0ms (10.9% of total)
const: 1.0ms (2.7% of total)

series4.0ms (0.1%)

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

36 calls:

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

rewrite410.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
4530×/-lowering-/.f32
4530×/-lowering-/.f64
3274×*-lowering-*.f32
3274×*-lowering-*.f64
2198×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
112049
2111649
0870049
Stop Event
iter limit
node limit
Counts
12 → 588
Calls
Call 1
Inputs
(+ x (- -1 x))
(/ (+ x (- -1 x)) (* x (+ 1 x)))
(- -1 x)
(* x (+ 1 x))
(/ -1 x)
(- 1 (/ 1 x))
(/ 1 x)
(/ -1 (* x x))
(* x x)
(- (- 1 x) (/ 1 x))
(- 1 x)
(+ 1 x)
Outputs
(+.f64 x (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (-.f64 #s(literal -1 binary64) x) x)
(+.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal -1 binary64) (-.f64 x x))
(-.f64 (+.f64 x #s(literal -1 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (*.f64 (+.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))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal -1 binary64) x) x)))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (+.f64 x #s(literal -1 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) x))) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) x) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) (+.f64 (+.f64 x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 x (neg.f64 (+.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 0 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
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(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.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 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.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 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (*.f64 x 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 x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.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 x #s(literal 1 binary64)))

simplify200.0ms (2.8%)

Algorithm
egg-herbie
Rules
2020×*-lowering-*.f32
2020×*-lowering-*.f64
1324×fma-lowering-fma.f32
1324×fma-lowering-fma.f64
1282×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057595
1183494
2496469
31909463
08779463
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 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 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -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)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 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)))
Outputs
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.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)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 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)))
(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 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 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.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 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.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 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 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 (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))
(/ -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))
(/ -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))
(/ -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)
(*.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)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) 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))

eval130.0ms (1.8%)

Compiler

Compiled 15903 to 1920 computations (87.9% saved)

prune72.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7544758
Fresh202
Picked235
Done101
Total7597766
Accuracy
100.0%
Counts
766 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
50.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
98.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
52.0%
(/.f64 #s(literal -1 binary64) x)
50.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
2.9%
#s(literal 1 binary64)
Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify153.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
cost-diff256
(+.f64 x (-.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
Rules
1804×--lowering--.f32
1804×--lowering--.f64
1558×fmsub-define
1498×fmm-def
1490×/-lowering-/.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01355
13251
25747
315747
434646
577446
6292744
7655844
0813744
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
1
(/ -1 (* x (+ 1 x)))
-1
(* x (+ 1 x))
x
(+ 1 x)
1
(/ (/ -1 x) x)
(/ -1 x)
-1
x
(/ (/ (+ x (- -1 x)) (+ x 1)) x)
(/ (+ x (- -1 x)) (+ x 1))
(+ x (- -1 x))
x
(- -1 x)
-1
(+ x 1)
1
Outputs
1
#s(literal 1 binary64)
(/ -1 (* x (+ 1 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
-1
#s(literal -1 binary64)
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (/ -1 x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ (/ (+ x (- -1 x)) (+ x 1)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/ (+ x (- -1 x)) (+ x 1))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ x (- -1 x))
#s(literal -1 binary64)
x
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize120.0ms (1.7%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
accuracy99.9%
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
accuracy53.8%
(+.f64 x (-.f64 #s(literal -1 binary64) x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy98.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
Results
49.0ms118×1valid
45.0ms138×0valid
Compiler

Compiled 65 to 14 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 13.0ms (42.2% of total)
ival-add: 6.0ms (19.5% of total)
backward-pass: 5.0ms (16.2% of total)
ival-mult: 3.0ms (9.7% of total)
ival-sub: 2.0ms (6.5% of total)
const: 1.0ms (3.2% of total)

series2.0ms (0%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/ -1 (* x (+ 1 x)))>
#<alt (* x (+ 1 x))>
#<alt (+ 1 x)>
#<alt (/ (/ -1 x) x)>
#<alt (/ -1 x)>
#<alt (+ x (- -1 x))>
#<alt (/ (/ (+ x (- -1 x)) (+ x 1)) x)>
#<alt (/ (+ x (- -1 x)) (+ x 1))>
#<alt (- -1 x)>
#<alt (+ x 1)>
Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 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 (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 (+ 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 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<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>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 1)>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 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)))>
Calls

30 calls:

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

rewrite290.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3978×*-lowering-*.f32
3978×*-lowering-*.f64
3976×/-lowering-/.f32
3976×/-lowering-/.f64
1480×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01350
19846
291037
0943737
Stop Event
iter limit
node limit
Counts
10 → 1030
Calls
Call 1
Inputs
(/ -1 (* x (+ 1 x)))
(* x (+ 1 x))
(+ 1 x)
(/ (/ -1 x) x)
(/ -1 x)
(+ x (- -1 x))
(/ (/ (+ x (- -1 x)) (+ x 1)) x)
(/ (+ x (- -1 x)) (+ x 1))
(- -1 x)
(+ x 1)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64))))))
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(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (+.f64 x x)))
(*.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 x (+.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 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 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.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 (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal -1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal -1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(*.f64 (/.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 x (+.f64 x #s(literal 1 binary64)))))
(*.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 #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))

simplify201.0ms (2.9%)

Algorithm
egg-herbie
Rules
2012×*-lowering-*.f32
2012×*-lowering-*.f64
1802×--lowering--.f32
1802×--lowering--.f64
1410×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058588
1183523
2463506
31610487
47326485
08336485
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(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
(+ 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 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -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
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 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)))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 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)))
(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)
(+ 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 (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))
(/ -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))
(/ -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))
(/ -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))
(/ -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
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- (* x (+ 1 (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (+.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)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (+.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)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) 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))

eval131.0ms (1.9%)

Compiler

Compiled 26610 to 2808 computations (89.4% saved)

prune113.0ms (1.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New114641150
Fresh000
Picked224
Done033
Total114891157
Accuracy
100.0%
Counts
1157 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
50.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
25.0%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x)
98.9%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
98.8%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
52.0%
(/.f64 #s(literal -1 binary64) x)
50.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
2.9%
#s(literal 1 binary64)
Compiler

Compiled 98 to 53 computations (45.9% saved)

simplify159.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x))))
cost-diff64
(/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64))
cost-diff64
(/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))
cost-diff1664
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x)
cost-diff13184
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 (*.f64 x x) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)))
Rules
2224×*-lowering-*.f32
2224×*-lowering-*.f64
1886×fnmadd-define
1284×+-lowering-+.f64
1284×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028162
177156
2180148
3635147
43777139
57821139
08294139
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ -1 (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x)))
-1
(* (- 1 (* x x)) (* (/ 1 (- 1 x)) x))
(- 1 (* x x))
1
(* x x)
x
(* (/ 1 (- 1 x)) x)
(/ 1 (- 1 x))
(- 1 x)
(/ -1 (+ (* x x) x))
-1
(+ (* x x) x)
(* x x)
x
(/ (* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2)) x)
(* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2))
(pow (- 0 x) -1/2)
(- 0 x)
0
x
-1/2
(/ (/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1))) (+ (* x x) (* (- -1 x) (- -1 (+ x x)))))
(/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1)))
(/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1)
(+ (* x x) (* (- -1 x) (- -1 (+ x x))))
(* x x)
x
(* (- -1 x) (- -1 (+ x x)))
(- -1 x)
-1
(- -1 (+ x x))
(+ x x)
(* x (+ x 1))
(+ x 1)
1
Outputs
(/ -1 (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(* (- 1 (* x x)) (* (/ 1 (- 1 x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(* (/ 1 (- 1 x)) x)
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(/ -1 (+ (* x x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
-1
#s(literal -1 binary64)
(+ (* x x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(* x x)
(*.f64 x x)
x
(/ (* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2))
(/.f64 #s(literal -1 binary64) x)
(pow (- 0 x) -1/2)
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
-1/2
#s(literal -1/2 binary64)
(/ (/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1))) (+ (* x x) (* (- -1 x) (- -1 (+ x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1)
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))))))
(+ (* x x) (* (- -1 x) (- -1 (+ x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))))
(* x x)
(*.f64 x x)
x
(* (- -1 x) (- -1 (+ x x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- -1 (+ x x))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))
(+ x x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ x 1))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize141.0ms (2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x))))
accuracy99.6%
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
accuracy88.7%
(/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
accuracy99.9%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x)
accuracy99.5%
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 x x) x)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)))
Results
52.0ms135×0valid
46.0ms121×0invalid
Compiler

Compiled 226 to 29 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 12.0ms (29.9% of total)
ival-mult: 11.0ms (27.4% of total)
ival-sub: 7.0ms (17.4% of total)
ival-add: 5.0ms (12.5% of total)
ival-pow: 4.0ms (10% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ -1 (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x)))>
#<alt (* (/ 1 (- 1 x)) x)>
#<alt (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x))>
#<alt (- 1 (* x x))>
#<alt (/ -1 (+ (* x x) x))>
#<alt (+ (* x x) x)>
#<alt (* x x)>
#<alt (* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2))>
#<alt (/ (* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2)) x)>
#<alt (pow (- 0 x) -1/2)>
#<alt (- 0 x)>
#<alt (/ (/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1))) (+ (* x x) (* (- -1 x) (- -1 (+ x x)))))>
#<alt (/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1)))>
#<alt (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1)>
#<alt (+ (* x x) (* (- -1 x) (- -1 (+ x x))))>
Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 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 (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 (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 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 (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)>
#<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 (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ (pow (sqrt -1) 2) x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<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 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (* -2 x) 1) x)>
#<alt (/ (- (* x (- (* -1 x) 2)) 1) x)>
#<alt (/ (- (* x (- (* x (- x 1)) 2)) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 (pow x 2))))>
#<alt (- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))>
#<alt (- (/ 1 (pow x 3)) (+ 3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 (pow x 2))))>
#<alt (- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))>
#<alt (- (* -1 (/ (- (/ 1 x) 1) (pow x 3))) (+ 3 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* x (- (* -3 x) 3)) 1)>
#<alt (- (* x (- (* -3 x) 3)) 1)>
#<alt (* -3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))>
#<alt (* -3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 3 x))))>
#<alt (+ 1 (* x (+ 3 (* 3 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1)))
1.0ms
x
@-inf
(pow (- 0 x) -1/2)
1.0ms
x
@0
(* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2))
1.0ms
x
@0
(/ -1 (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x)))
0.0ms
x
@0
(pow (- 0 x) -1/2)

rewrite252.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
2028×*-lowering-*.f32
2028×*-lowering-*.f64
1896×frac-sub
1768×/-lowering-/.f32
1768×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028153
1219116
2201575
01191575
Stop Event
iter limit
node limit
Counts
15 → 1121
Calls
Call 1
Inputs
(/ -1 (* (- 1 (* x x)) (* (/ 1 (- 1 x)) x)))
(* (/ 1 (- 1 x)) x)
(* (- 1 (* x x)) (* (/ 1 (- 1 x)) x))
(- 1 (* x x))
(/ -1 (+ (* x x) x))
(+ (* x x) x)
(* x x)
(* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2))
(/ (* (pow (- 0 x) -1/2) (pow (- 0 x) -1/2)) x)
(pow (- 0 x) -1/2)
(- 0 x)
(/ (/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1))) (+ (* x x) (* (- -1 x) (- -1 (+ x x)))))
(/ (/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1) (* x (+ x 1)))
(/ (+ (* x x) (* (- -1 x) (- -1 (+ x x)))) -1)
(+ (* x x) (* (- -1 x) (- -1 (+ x x))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(/.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) x))) x)
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.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 (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(-.f64 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) x (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) x)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) x) (*.f64 x (*.f64 x x))) x)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))

simplify216.0ms (3.1%)

Algorithm
egg-herbie
Rules
2326×+-lowering-+.f64
2326×+-lowering-+.f32
2288×*-lowering-*.f32
2288×*-lowering-*.f64
1204×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191096
1374937
2949897
32711891
47818891
08257891
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(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
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(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)))
(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 (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ (pow (sqrt -1) 2) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ (pow (sqrt -1) 2) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* (sqrt (/ 1 x)) (sqrt -1))
(* -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)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- (* -2 x) 1) x)
(/ (- (* x (- (* -1 x) 2)) 1) x)
(/ (- (* x (- (* x (- x 1)) 2)) 1) x)
-3
(* -1 (+ 3 (/ 1 (pow x 2))))
(- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))
(- (/ 1 (pow x 3)) (+ 3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
-3
(* -1 (+ 3 (/ 1 (pow x 2))))
(- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))
(- (* -1 (/ (- (/ 1 x) 1) (pow x 3))) (+ 3 (/ 1 (pow x 2))))
-1
(- (* -3 x) 1)
(- (* x (- (* -3 x) 3)) 1)
(- (* x (- (* -3 x) 3)) 1)
(* -3 (pow x 2))
(* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(* -3 (pow x 2))
(* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 3 x))))
(+ 1 (* x (+ 3 (* 3 x))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3 (/ 1 x))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3 (/ 1 x))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.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))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 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)))
(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)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 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)))
(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)
(*.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 (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) x)
(/.f64 #s(literal -1 binary64) x)
(/ (pow (sqrt -1) 2) 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)
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (pow (sqrt -1) 2) (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))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (+.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)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -2 x) 1) x)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (- (* -1 x) 2)) 1) x)
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* x (- (* x (- x 1)) 2)) 1) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 (pow x 2))))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -3 binary64))
(- (/ 1 (pow x 3)) (+ 3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 (pow x 2))))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (/ 1 (pow x 3)) (+ 3 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -3 binary64))
(- (* -1 (/ (- (/ 1 x) 1) (pow x 3))) (+ 3 (/ 1 (pow x 2))))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(- (* x (- (* -3 x) 3)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(- (* x (- (* -3 x) 3)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* -3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* -3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(* -1 (* (pow x 2) (+ 3 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* (pow x 2) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 3))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 (* 3 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(+ 1 (* x (+ 3 (* 3 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))
(* (pow x 2) (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))))

eval207.0ms (2.9%)

Compiler

Compiled 61207 to 4510 computations (92.6% saved)

prune174.0ms (2.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New171221714
Fresh000
Picked314
Done055
Total171581723
Accuracy
100.0%
Counts
1723 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
25.0%
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) x)
98.9%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
52.0%
(/.f64 #s(literal -1 binary64) x)
49.8%
(/.f64 #s(literal -3 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
50.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
2.9%
#s(literal 1 binary64)
Compiler

Compiled 243 to 94 computations (61.3% saved)

regimes13.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(literal -3 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x)
Outputs
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
52.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
2.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.004280462100267864
6.5388757209335076
18.0ms
-2285.7756534929413
-1.7227701550687105e-23
Results
19.0ms304×0valid
Compiler

Compiled 318 to 218 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (48.3% of total)
ival-add: 4.0ms (38.7% of total)
ival-sub: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.004280462100267864
6.5388757209335076
17.0ms
-2285.7756534929413
-1.7227701550687105e-23
Results
17.0ms304×0valid
Compiler

Compiled 280 to 199 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.7% of total)
ival-add: 2.0ms (24.4% of total)
ival-sub: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.004280462100267864
6.5388757209335076
15.0ms
-2285.7756534929413
-1.7227701550687105e-23
Results
19.0ms304×0valid
Compiler

Compiled 280 to 199 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.1% of total)
ival-add: 4.0ms (40.1% of total)
ival-sub: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
10×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02677
14477
25477
36077
46677
56877
67177
77377
87477
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)

soundness1.5s (21.7%)

Rules
4530×/-lowering-/.f32
4530×/-lowering-/.f64
3978×*-lowering-*.f32
3978×*-lowering-*.f64
3976×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551
112049
2111649
0870049
053264
1164239
2402233
31207226
44310224
56415223
67802223
08048223
01350
19846
291037
0943737
057595
1183494
2496469
31909463
08779463
0616
15916
259016
3667016
0801116
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 178 to 86 computations (51.7% saved)

preprocess35.0ms (0.5%)

Compiler

Compiled 200 to 62 computations (69% saved)

end0.0ms (0%)

Profiling

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