Expanding a square

Time bar (total: 2.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (49%)

Results
225.0ms2958×256valid
371.0ms2069×1024valid
206.0ms2055×256infinite
319.0ms1022×512valid
33.0ms151×2048valid
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
Operation ival-sub, time spent: 284.0ms, 48.0% of total-time
Operation ival-add, time spent: 165.0ms, 28.0% of total-time
Operation ival-mult, time spent: 114.0ms, 19.0% of total-time
Operation const, time spent: 33.0ms, 6.0% of total-time
Bogosity

preprocess461.0ms (15.9%)

Algorithm
1×egg-herbie
Rules
6414×fma-neg
2208×unsub-neg
1012×distribute-neg-in
858×sub-neg
608×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
00-0-x
00-0-(*.f64 (+.f64 x 1) (+.f64 x 1))
00-0-(+.f64 x 1)
00-0-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015128
151108
214688
348876
4217776
5379276
6493976
7578876
8621376
9645376
10645676
11645676
12657776
13666476
14683776
15683776
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1))
Outputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)
(fma.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)) -1)
(fma.f64 (-.f64 1 x) (-.f64 1 x) -1)
(*.f64 (neg.f64 x) (-.f64 2 x))
(*.f64 x (+.f64 x -2))
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1))
(neg.f64 (fma.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)) -1))
(neg.f64 (fma.f64 (-.f64 1 x) (-.f64 1 x) -1))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 2 x)))
(*.f64 x (-.f64 2 x))
Results
24.0ms180×256valid
43.0ms138×1024valid
14.0ms123×256infinite
11.0ms56×512valid
6.0ms14×2048valid
0.0ms1×256infinite
Compiler

Compiled 56 to 42 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
Operation ival-add, time spent: 26.0ms, 52.0% of total-time
Operation ival-mult, time spent: 14.0ms, 28.0% of total-time
Operation ival-sub, time spent: 6.0ms, 12.0% of total-time
Operation const, time spent: 4.0ms, 8.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (+.f64 x 2))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize28.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (+.f64 x 2))
Results
16.0ms194×256valid
4.0ms61×256infinite
0.0ms1×256infinite
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-add, time spent: 5.0ms, 69.0% of total-time
Operation ival-mult, time spent: 2.0ms, 28.0% of total-time
Operation const, time spent: 1.0ms, 14.0% of total-time

series2.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 x 2))>
Outputs
#<alt (*.f64 2 x)>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (+ x 2))
0.0ms
x
@inf
(* x (+ x 2))
0.0ms
x
@0
(* x (+ x 2))

rewrite166.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
636×unpow-prod-down
396×log1p-expm1-u
396×expm1-log1p-u
377×add-exp-log
370×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
18319
2108619
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(*.f64 x (+.f64 x 2))
Outputs
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (*.f64 x 2) 1))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x 2) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (*.f64 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (pow.f64 x 2))
(fma.f64 2 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (*.f64 (*.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))

simplify94.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1686×times-frac
654×fma-define
562×associate-*r*
546×fma-neg
536×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431441
12861437
26511409
329351407
465561407
Stop Event
1×node limit
Counts
59 → 64
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (*.f64 x 2) 1))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x 2) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (*.f64 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (pow.f64 x 2))
(fma.f64 2 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (*.f64 (*.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
Outputs
(*.f64 2 x)
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 x 2) (*.f64 (*.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 2 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 2 x)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (pow.f64 x 2) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 2 x) 2) (*.f64 (pow.f64 x 3) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) 4 (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (*.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x (+.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x 2) 2)) (-.f64 (pow.f64 x 2) (*.f64 x 2)))
(*.f64 x (+.f64 2 x))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(*.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 x (+.f64 2 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(*.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(*.f64 x (+.f64 2 x))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 2 x))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) x))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (*.f64 x 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 2) 1 (*.f64 (*.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))

eval17.0ms (0.6%)

Compiler

Compiled 735 to 529 computations (28% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh000
Picked011
Done000
Total62365
Accuracy
100.0%
Counts
65 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 x x (*.f64 x 2))
✓100.0%
(*.f64 x (+.f64 x 2))
▶53.9%
(*.f64 2 x)
Compiler

Compiled 17 to 11 computations (35.3% saved)

localize37.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.6%
(fma.f64 x x (*.f64 x 2))
Results
26.0ms254×256valid
0.0ms1×256valid
0.0ms1×256infinite
Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 7.0ms, 54.0% of total-time
Operation composed, time spent: 4.0ms, 31.0% of total-time
Operation ival-add, time spent: 1.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

series2.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (fma.f64 x x (*.f64 x 2))>
Outputs
#<alt (*.f64 2 x)>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (*.f64 x (+.f64 2 x))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (pow.f64 x 2)>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x x) (* x 2))
0.0ms
x
@0
(+ (* x x) (* x 2))
0.0ms
x
@-inf
(+ (* x x) (* x 2))

rewrite66.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
976×associate-*r*
498×unpow-prod-down
306×cbrt-prod
304×log-prod
264×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
16719
272919
Stop Event
1×node limit
Counts
1 → 70
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 x 2))
Outputs
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) -1)
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (+.f64 1 (*.f64 x 2)) (-.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 x (-.f64 x 2))))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2))) 1)
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 (*.f64 x (+.f64 x 2)) (log.f64 (E.f64)))
(*.f64 1 (*.f64 x (+.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (cbrt.f64 x) (+.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 5) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (*.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (sqrt.f64 x) 2) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 (sqrt.f64 x) 2)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 2 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (/.f64 1 (*.f64 x (-.f64 x 2))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2) 1/3) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 5)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 2) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) 1) (+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x 2))) 2))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(fabs.f64 (*.f64 x (+.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))

simplify94.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1624×fma-neg
1094×fma-define
968×distribute-lft-in
904×distribute-rgt-in
650×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02133134
14803054
213772764
359722742
Stop Event
1×node limit
Counts
82 → 102
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) -1)
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (+.f64 1 (*.f64 x 2)) (-.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 x (-.f64 x 2))))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2))) 1)
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 (*.f64 x (+.f64 x 2)) (log.f64 (E.f64)))
(*.f64 1 (*.f64 x (+.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (cbrt.f64 x) (+.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 5) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (*.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (sqrt.f64 x) 2) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 (sqrt.f64 x) 2)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 2 (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (/.f64 1 (*.f64 x (-.f64 x 2))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2) 1/3) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 5)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 2) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) 1) (+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x 2))) 2))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(fabs.f64 (*.f64 x (+.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))
Outputs
(*.f64 2 x)
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x 2) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) -1)
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x 2)) (-.f64 1 (pow.f64 x 2)))
(*.f64 x (+.f64 2 x))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 x (-.f64 x 2))))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 x (+.f64 x 2)) (log.f64 (E.f64)))
(*.f64 x (+.f64 2 x))
(*.f64 1 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(*.f64 (cbrt.f64 x) (+.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (cbrt.f64 x) (fma.f64 2 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 5)))
(fma.f64 2 x (pow.f64 (cbrt.f64 x) 6))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 5) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (cbrt.f64 x) (fma.f64 2 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 5)))
(fma.f64 2 x (pow.f64 (cbrt.f64 x) 6))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (*.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 (cbrt.f64 x) 2 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 2 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 (cbrt.f64 x) 2 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 2 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (sqrt.f64 x) 2) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (fma.f64 2 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 (sqrt.f64 x) 2)))
(*.f64 (sqrt.f64 x) (fma.f64 2 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (fma.f64 2 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 3/2) (*.f64 2 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (fma.f64 2 (sqrt.f64 x) (pow.f64 x 3/2)))
(fma.f64 2 x (*.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2)))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x -2)) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x -2 4) (pow.f64 x 4)))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (/.f64 1 (*.f64 x (-.f64 x 2))))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(*.f64 (pow.f64 1 1/3) (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 8)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2) 1/3) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 5/2)) (pow.f64 (*.f64 x (+.f64 2 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 1/6) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 1/6)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 1/6) 3))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 8)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 5/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 5/2)) (pow.f64 (*.f64 x (+.f64 2 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 x (+.f64 2 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3/2)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/4))
(*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 5)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 5)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6)) (pow.f64 (*.f64 x (+.f64 x 2)) 1/6))
(*.f64 x (+.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x -2)) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x -2 4) (pow.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2)))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x -2)) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x -2 4) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (*.f64 x (-.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 x 2))))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x -2)) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x -2 4) (pow.f64 x 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2)))) (neg.f64 (*.f64 x (-.f64 x 2))))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 2) 4) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 2) (pow.f64 x 2)))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 4 (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (+.f64 4 (*.f64 x -2)) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x -2 4) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 2 x))) 3) -1) (fma.f64 (+.f64 1 (*.f64 x (+.f64 2 x))) (+.f64 1 (*.f64 x (+.f64 2 x))) (+.f64 1 (+.f64 1 (*.f64 x (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (+.f64 2 x) 1) 3)) (fma.f64 (fma.f64 x (+.f64 2 x) 1) (fma.f64 x (+.f64 2 x) 1) (+.f64 2 (*.f64 x (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (+.f64 2 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (+.f64 2 x) 1) (fma.f64 x (+.f64 2 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 x 2) (/.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x 4) x) (+.f64 x -2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 4 x)) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 x 4) (/.f64 (pow.f64 x 4) x)) (-.f64 2 x))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) (+.f64 1 (*.f64 x (+.f64 x 2)))) 1) (+.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x 2))) 2))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 2 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 2 x))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(fabs.f64 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))
(*.f64 x (+.f64 2 x))

eval31.0ms (1.1%)

Compiler

Compiled 1537 to 1130 computations (26.5% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh000
Picked022
Done011
Total1023105
Accuracy
100.0%
Counts
105 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(fma.f64 x x (*.f64 x 2))
✓100.0%
(*.f64 x (+.f64 x 2))
✓53.9%
(*.f64 2 x)
Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes12.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2 x)
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 x x (*.f64 x 2))
Outputs
(*.f64 x (+.f64 x 2))
Calls

4 calls:

4.0ms
x
3.0ms
(+.f64 x 1)
2.0ms
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
2.0ms
(*.f64 (+.f64 x 1) (+.f64 x 1))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
100.0%1(*.f64 (+.f64 x 1) (+.f64 x 1))
100.0%1(+.f64 x 1)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2 x)
Outputs
(*.f64 2 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11229
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 x 2))
(*.f64 2 x)
Outputs
(*.f64 x (+.f64 x 2))
(*.f64 2 x)
(*.f64 x 2)
Compiler

Compiled 10 to 7 computations (30% saved)

soundness418.0ms (14.4%)

Rules
6414×fma-neg
2208×unsub-neg
1012×distribute-neg-in
858×sub-neg
608×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015128
151108
214688
348876
4217776
5379276
6493976
7578876
8621376
9645376
10645676
11645676
12657776
13666476
14683776
15683776
Stop Event
1×node limit
Compiler

Compiled 71 to 55 computations (22.5% saved)

end0.0ms (0%)

preprocess25.0ms (0.9%)

Compiler

Compiled 38 to 28 computations (26.3% saved)

Profiling

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