Rosa's Benchmark

Details

Time bar (total: 6.9s)

analyze0.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

sample899.0ms (13%)

Results
611.0ms5516×body256valid
277.0ms2740×body256infinite
Bogosity

preprocess145.0ms (2.1%)

Algorithm
egg-herbie
Rules
1842×fma-def
1596×fma-neg
1120×distribute-lft-neg-in
818×cancel-sign-sub-inv
694×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
12421
25821
313721
422921
538821
676121
7164521
8257921
9377321
10470521
11548821
12572721
13603721
14684721
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify144.0ms (2.1%)

Algorithm
egg-herbie
Rules
1842×fma-def
1596×fma-neg
1120×distribute-lft-neg-in
818×cancel-sign-sub-inv
694×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
12421
25821
313721
422921
538821
676121
7164521
8257921
9377321
10470521
11548821
12572721
13603721
14684721
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))

eval1.0ms (0%)

Compiler

Compiled 47 to 30 computations (36.2% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New235
Fresh011
Picked000
Done000
Total246
Accurracy
99.9%
Counts
6 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
Compiler

Compiled 30 to 21 computations (30% saved)

localize55.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
99.8%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
1.0ms
x
@inf
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
0.0ms
x
@-inf
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
0.0ms
x
@inf
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
0.0ms
x
@0
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)

rewrite117.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1592×pow1
1474×add-exp-log
1474×log1p-expm1-u
1474×expm1-log1p-u
1442×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118136
2202636
Stop Event
node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(*.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(*.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))

simplify154.0ms (2.2%)

Algorithm
egg-herbie
Rules
826×associate-+r+
750×log-prod
730×associate-+l+
692×unswap-sqr
678×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0921082
12181064
29021032
339881026
Stop Event
node limit
Counts
58 → 54
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(*.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(*.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))
(/.f64 (+.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 x (*.f64 x -1539897338202650532481239097857/12500000000000000000000000000000))))
(/.f64 (fma.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) (fma.f64 x (*.f64 x 1539897338202650532481239097857/12500000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (fma.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) (fma.f64 x (*.f64 x 1539897338202650532481239097857/12500000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize62.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 34 to 15 computations (55.9% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@0
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.0ms
x
@inf
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.0ms
x
@-inf
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.0ms
x
@-inf
(*.f64 238732414637843/250000000000000 x)

rewrite155.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1526×pow1
1420×add-exp-log
1420×log1p-expm1-u
1420×expm1-log1p-u
1388×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
118427
2203527
Stop Event
node limit
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
Outputs
(-.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 x)) 1)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 2))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3))
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))
(-.f64 (+.f64 1 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 (pow.f64 x 3/2) 2)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))

simplify68.0ms (1%)

Algorithm
egg-herbie
Rules
1732×log-prod
1558×fma-def
1456×associate-*l*
828×associate-+r+
736×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078669
1186603
2697537
33829537
Stop Event
node limit
Counts
57 → 37
Calls
Call 1
Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 x)) 1)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 2))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3))
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))
(-.f64 (+.f64 1 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 (pow.f64 x 3/2) 2)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 238732414637843/250000000000000 x)) 1)
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(sqrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 2))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x)))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(exp.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (*.f64 238732414637843/250000000000000 x)))
(+.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(-.f64 (+.f64 1 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 2)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)

localize82.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.8%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Compiler

Compiled 22 to 17 computations (22.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
0.0ms
x
@-inf
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms
x
@inf
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms
x
@0
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms
x
@inf
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

rewrite107.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1750×pow1
1632×add-exp-log
1632×log1p-expm1-u
1632×expm1-log1p-u
1598×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
121034
2223434
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
Outputs
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (+.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))

simplify86.0ms (1.2%)

Algorithm
egg-herbie
Rules
846×associate-+r+
788×associate-+l+
768×fma-def
686×log-prod
660×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861084
12201062
28861056
336491054
Stop Event
node limit
Counts
56 → 44
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (+.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(-.f64 (+.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (-.f64 (fma.f64 x (*.f64 56993165798814994692847692649/62500000000000000000000000000 x) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 x (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x (+.f64 (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 3)) (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x (fma.f64 (pow.f64 x 3) -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x -56993165798814994692847692649/62500000000000000000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (fma.f64 x (*.f64 56993165798814994692847692649/62500000000000000000000000000 x) (*.f64 (pow.f64 x 6) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (fma.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval100.0ms (1.4%)

Compiler

Compiled 1729 to 1240 computations (28.3% saved)

prune39.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1269135
Fresh000
Picked101
Done112
Total12810138
Accurracy
100.0%
Counts
138 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
98.5%
(*.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
67.9%
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
58.3%
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
51.7%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.6%
(*.f64 x 238732414637843/250000000000000)
51.7%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 248 to 180 computations (27.4% saved)

localize89.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@0
(*.f64 x -6450306886639899/50000000000000000)
0.0ms
x
@-inf
(*.f64 x -6450306886639899/50000000000000000)
0.0ms
x
@inf
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
0.0ms
x
@0
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))

rewrite95.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
958×log-prod
722×prod-diff
708×exp-prod
702×prod-exp
636×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
120141
2258741
Stop Event
node limit
Counts
3 → 120
Calls
Call 1
Inputs
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Outputs
(+.f64 0 (*.f64 x -6450306886639899/50000000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))) (sqrt.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 0 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 0 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2) (-.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2) (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x) (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (*.f64 x 238732414637843/250000000000000) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 238732414637843/250000000000000))

simplify102.0ms (1.5%)

Algorithm
egg-herbie
Rules
1096×unswap-sqr
952×distribute-lft-in
904×distribute-rgt-in
724×*-commutative
372×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03123136
17153018
220562992
Stop Event
node limit
Counts
156 → 155
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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Outputs
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (*.f64 x 238732414637843/250000000000000) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (*.f64 x (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))

localize63.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x 238732414637843/250000000000000)
0.0ms
x
@inf
(*.f64 x 238732414637843/250000000000000)
0.0ms
x
@-inf
(*.f64 x 238732414637843/250000000000000)

rewrite85.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
884×pow1
860×add-sqr-sqrt
842×*-un-lft-identity
816×add-exp-log
816×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
Outputs
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))

simplify69.0ms (1%)

Algorithm
egg-herbie
Rules
1568×fma-def
1562×log-prod
1070×fma-neg
506×*-commutative
504×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044238
195224
2310200
32197200
44941200
56839200
Stop Event
node limit
Counts
26 → 18
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))
(*.f64 238732414637843/250000000000000 x)
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(*.f64 238732414637843/250000000000000 x)
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)

localize39.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
Compiler

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms
x
@inf
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms
x
@-inf
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite115.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1296×pow1
1194×add-exp-log
1194×log1p-expm1-u
1194×expm1-log1p-u
1168×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114213
2166113
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))

simplify102.0ms (1.5%)

Algorithm
egg-herbie
Rules
2298×log-prod
918×exp-sum
752×associate-*r*
682×associate-*l*
592×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034299
182299
2318299
32235299
46448299
Stop Event
node limit
Counts
23 → 12
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize63.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

rewrite78.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1204×pow1
1128×add-exp-log
1128×log1p-expm1-u
1128×expm1-log1p-u
1104×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2157313
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Outputs
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))

simplify60.0ms (0.9%)

Algorithm
egg-herbie
Rules
2268×log-prod
940×exp-sum
820×distribute-rgt-in
818×distribute-lft-in
650×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
199209
2314143
31863143
45900143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 0)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize87.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2))
99.9%
(*.f64 238732414637843/250000000000000 x)
99.8%
(pow.f64 (pow.f64 x 3/2) 2)
Compiler

Compiled 36 to 29 computations (19.4% saved)

series54.0ms (0.8%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@0
(pow.f64 (pow.f64 x 3/2) 2)
19.0ms
x
@-inf
(pow.f64 (pow.f64 x 3/2) 2)
8.0ms
x
@inf
(pow.f64 (pow.f64 x 3/2) 2)
2.0ms
x
@inf
(*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2))
1.0ms
x
@-inf
(*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2))

rewrite62.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1456×pow1
1368×add-exp-log
1366×log1p-expm1-u
1366×expm1-log1p-u
1340×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119320
2205820
Stop Event
node limit
Counts
2 → 30
Calls
Call 1
Inputs
(pow.f64 (pow.f64 x 3/2) 2)
(*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2))
Outputs
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(*.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(*.f64 (*.f64 (pow.f64 x 3/2) x) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) 1) x)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 (cbrt.f64 6450306886639899/50000000000000000) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))

simplify77.0ms (1.1%)

Algorithm
egg-herbie
Rules
1908×log-prod
1130×fma-def
908×distribute-rgt-in
882×distribute-lft-in
768×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086526
1205526
2661526
32219526
46652526
Stop Event
node limit
Counts
54 → 35
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(*.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(*.f64 (*.f64 (pow.f64 x 3/2) x) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) 1) x)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 (cbrt.f64 6450306886639899/50000000000000000) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 x 3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 x 3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 x 3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 x (*.f64 x x))
(pow.f64 x 3)
(*.f64 (*.f64 x x) x)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(pow.f64 x 3)
(*.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(pow.f64 x 3)
(*.f64 (*.f64 (pow.f64 x 3/2) x) (sqrt.f64 x))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) 1) x)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 1)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 (*.f64 (cbrt.f64 6450306886639899/50000000000000000) x) 3)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3) 1/3)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)

eval113.0ms (1.6%)

Compiler

Compiled 3953 to 2922 computations (26.1% saved)

prune43.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3132315
Fresh224
Picked101
Done055
Total3169325
Accurracy
100.0%
Counts
325 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.4%
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
67.9%
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
51.7%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.6%
(*.f64 x 238732414637843/250000000000000)
51.7%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 94 to 65 computations (30.9% saved)

localize26.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.8%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
Compiler

Compiled 19 to 9 computations (52.6% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
0.0ms
x
@inf
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
0.0ms
x
@0
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms
x
@-inf
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

rewrite76.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1274×pow1
1178×add-exp-log
1178×log1p-expm1-u
1178×expm1-log1p-u
1152×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0732
114426
2170326
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Outputs
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) x) 2)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Rules
1578×associate-*r*
1380×associate-*l*
1284×fma-def
834×associate-+r+
760×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062598
1147598
2571598
34226598
Stop Event
node limit
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) x) 2)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) x) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize88.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
62.7%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Compiler

Compiled 89 to 62 computations (30.3% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms
x
@0
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

rewrite189.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1372×log-prod
1004×fma-def
640×prod-diff
544×pow-exp
482×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01264
128234
2382934
Stop Event
node limit
Counts
2 → 231
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(+.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(+.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))) (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))))
(+.f64 0 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
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simplify408.0ms (5.9%)

Algorithm
egg-herbie
Rules
1610×times-frac
1102×distribute-lft-in
600×unswap-sqr
408×fma-neg
394×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056424081
1136020035
2381515041
Stop Event
node limit
Counts
255 → 457
Calls
Call 1
Inputs
238732414637843/250000000000000
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(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 238732414637843/250000000000000)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) 1)
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(pow.f64 (pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
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(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6))
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(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6)) 1/3))
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Outputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
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(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2) 3)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6) 1/3)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1) 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 2) 1))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1) 1))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))) 3))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 6)) 1/3))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)) 3) 1/3))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))

localize128.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.5%
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
49.5%
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Compiler

Compiled 37 to 26 computations (29.7% saved)

series10.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
0.0ms
x
@inf
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite78.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1598×pow1
1494×add-exp-log
1494×log1p-expm1-u
1494×expm1-log1p-u
1462×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
120730
2212030
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)
Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 -6450306886639899/50000000000000000))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3))
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) x)
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))
(*.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x x) -6450306886639899/50000000000000000)
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))
(*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))

simplify60.0ms (0.9%)

Algorithm
egg-herbie
Rules
1756×fma-def
1244×unswap-sqr
1238×distribute-lft-in
1118×log-prod
964×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211558
12741246
2843934
33552930
Stop Event
node limit
Counts
58 → 67
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 -6450306886639899/50000000000000000))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 -6450306886639899/50000000000000000))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3))
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) x)
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))
(*.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x x) -6450306886639899/50000000000000000)
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2)))
(*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x))
(*.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
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(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) 1/3))
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(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
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(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x))
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(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
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(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
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(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
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(*.f64 (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1/3)
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(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
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(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 2)
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(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2))
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(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
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(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 0)
(cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
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(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))) 4) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)))) (cbrt.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 0)
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))

localize30.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 24 to 14 computations (41.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
0.0ms
x
@-inf
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
0.0ms
x
@inf
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))

rewrite85.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1776×pow1
1640×add-exp-log
1640×log1p-expm1-u
1640×expm1-log1p-u
1604×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
120125
2226525
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
Outputs
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 x 238732414637843/250000000000000))
(-.f64 (+.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))

simplify75.0ms (1.1%)

Algorithm
egg-herbie
Rules
1156×fma-neg
792×distribute-rgt-in
780×distribute-lft-in
686×associate-/l*
604×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060809
1173763
2710757
32651755
47551755
Stop Event
node limit
Counts
33 → 36
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 x 238732414637843/250000000000000))
(-.f64 (+.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 238732414637843/250000000000000) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (pow.f64 x 3) (*.f64 -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (-.f64 (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (*.f64 (pow.f64 x 3) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (*.f64 x -1539897338202650532481239097857/12500000000000000000000000000000))))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (*.f64 x 1539897338202650532481239097857/12500000000000000000000000000000))))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1539897338202650532481239097857/12500000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (neg.f64 (*.f64 238732414637843/250000000000000 x))))
(/.f64 (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 (*.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000)))
(/.f64 (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x (*.f64 x -56993165798814994692847692649/62500000000000000000000000000))) (fma.f64 x -238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (fma.f64 x (*.f64 x -56993165798814994692847692649/62500000000000000000000000000) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x -238732414637843/250000000000000)))
(pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log.f64 (exp.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(exp.f64 (log.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

eval959.0ms (13.9%)

Compiler

Compiled 32302 to 22416 computations (30.6% saved)

prune334.0ms (4.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New9010901
Fresh000
Picked011
Done088
Total9019910
Accurracy
100.0%
Counts
910 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
51.4%
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
67.9%
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
51.7%
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
51.7%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
50.6%
(*.f64 x 238732414637843/250000000000000)
51.7%
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Compiler

Compiled 251 to 170 computations (32.3% saved)

regimes18.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) (*.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
(*.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
Outputs
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 171 to 114 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
Outputs
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 80 to 52 computations (35% saved)

regimes59.0ms (0.9%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
Outputs
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

58.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 20 to 12 computations (40% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
Outputs
(*.f64 x 238732414637843/250000000000000)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
50.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.17222333555867647
315429.4390399887
21.0ms
-2.535976747160347e+22
-3.709684261502658e-17
Results
36.0ms336×body256valid
Compiler

Compiled 310 to 221 computations (28.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
138104
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(*.f64 x 238732414637843/250000000000000)
Outputs
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 x (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (or (<=.f64 x -3039929748475085/1125899906842624) (not (<=.f64 x 3039929748475085/1125899906842624))) (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 43 to 30 computations (30.2% saved)

soundness505.0ms (7.3%)

Rules
1842×fma-def
1596×fma-neg
1592×pow1
1474×add-exp-log
1474×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
12421
25821
313721
422921
538821
676121
7164521
8257921
9377321
10470521
11548821
12572721
13603721
14684721
0921082
12181064
29021032
339881026
0936
118136
2202636
Stop Event
node limit
node limit
node limit
Compiler

Compiled 131 to 79 computations (39.7% saved)

end40.0ms (0.6%)

Compiler

Compiled 104 to 68 computations (34.6% saved)

Profiling

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