Rosa's Benchmark

Details

Time bar (total: 11.7s)

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)

sample831.0ms (7.1%)

Results
562.0ms5494×body256valid
256.0ms2762×body256infinite
Bogosity

preprocess160.0ms (1.4%)

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)

simplify156.0ms (1.3%)

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
99.9%
(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)

localize35.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
99.6%
(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
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)
0.0ms
x
@0
(*.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))

rewrite80.0ms (0.7%)

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
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
Outputs
(+.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)))
(+.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))))

simplify65.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0921082
12181064
29031032
339771026
Stop Event
node limit
Counts
58 → 53
Calls
Call 1
Inputs
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 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 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)))
(+.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))))
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)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.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)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.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)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.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))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.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))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.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))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.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 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(*.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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)
(*.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)
(*.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)
(/.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 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x x) 3)) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 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 -6450306886639899/50000000000000000 (*.f64 x x)) (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) -238732414637843/250000000000000))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))
(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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)
(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)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(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))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))

localize38.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
99.9%
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
99.8%
(*.f64 (*.f64 x x) x)
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 34 to 15 computations (55.9% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

12 calls:

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

rewrite147.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1018×log-prod
926×fma-def
768×prod-exp
602×pow-prod-down
476×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
122848
2288048
Stop Event
node limit
Counts
4 → 260
Calls
Call 1
Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x x) x)
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Outputs
(+.f64 0 (*.f64 238732414637843/250000000000000 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 238732414637843/250000000000000 x))) 1)
(pow.f64 (*.f64 238732414637843/250000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
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simplify173.0ms (1.5%)

Algorithm
egg-herbie
Rules
1202×cancel-sign-sub-inv
1064×unswap-sqr
912×fma-neg
440×times-frac
428×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04877358
110956810
233096602
Stop Event
node limit
Counts
296 → 299
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 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(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 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))
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(pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 238732414637843/250000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
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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 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(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)
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(*.f64 x 238732414637843/250000000000000)
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(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
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(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 (*.f64 238732414637843/250000000000000 x)) (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2))) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (neg.f64 (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2)) (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) x (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -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 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) x (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))

localize116.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 x 3)
99.9%
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Compiler

Compiled 22 to 17 computations (22.7% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite114.0ms (1%)

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
01041
121041
2223441
Stop Event
node limit
Counts
3 → 51
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(pow.f64 x 3)
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))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 x (*.f64 x x))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.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 3 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))

simplify112.0ms (1%)

Algorithm
egg-herbie
Rules
1140×log-prod
916×fma-def
876×fma-neg
730×unswap-sqr
622×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221445
13031309
211141187
346281187
Stop Event
node limit
Counts
75 → 67
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))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 x (*.f64 x x))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.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 3 (log.f64 x)))
(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))
(*.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 x (*.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.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 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 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 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x (+.f64 (*.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 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(/.f64 (fma.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000)))
(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))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 x (*.f64 x x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 x x) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) 1) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)

eval479.0ms (4.1%)

Compiler

Compiled 7478 to 5638 computations (24.6% saved)

prune89.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4127419
Fresh000
Picked101
Done112
Total4148422
Accurracy
100.0%
Counts
422 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.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)))
71.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (sqrt.f64 (pow.f64 x 6))))
52.0%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
69.9%
(*.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))
52.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.4%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 158 to 116 computations (26.6% saved)

localize45.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
100.0%
(pow.f64 x 3)
99.9%
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
99.8%
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 26 to 20 computations (23.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite176.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
958×log-prod
838×fma-def
720×exp-prod
624×prod-exp
570×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
123434
2282134
Stop Event
node limit
Counts
2 → 184
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
Outputs
(+.f64 0 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(+.f64 0 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))))
(*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 1 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (fma.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
(/.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
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simplify128.0ms (1.1%)

Algorithm
egg-herbie
Rules
846×distribute-lft-in
768×cancel-sign-sub-inv
760×distribute-rgt-in
600×associate-+r+
552×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03606360
18275896
223305648
Stop Event
node limit
Counts
208 → 215
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))
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(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(fma.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(fma.f64 (-.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (neg.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 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 (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 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 (neg.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (neg.f64 (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2)) (*.f64 x (cbrt.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 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 238732414637843/250000000000000 x))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 0 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(pow.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1) 1))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 3) 1/3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 2))
(*.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 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(+.f64 0 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(fma.f64 (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))
(fma.f64 (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))) 0)
(fma.f64 (neg.f64 (pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2)) (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 x 3) -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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))

localize16.0ms (0.1%)

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)

rewrite68.0ms (0.6%)

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 (0.6%)

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)

localize24.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
99.5%
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.7%)

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))))

simplify66.0ms (0.6%)

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))

localize35.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.9%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 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 -6450306886639899/50000000000000000)
0.0ms
x
@0
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

rewrite149.0ms (1.3%)

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
0956
120156
2258756
Stop Event
node limit
Counts
4 → 176
Calls
Call 1
Inputs
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
Outputs
(+.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)))))
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simplify196.0ms (1.7%)

Algorithm
egg-herbie
Rules
1332×fma-neg
1148×log-prod
482×sqr-pow
436×associate-*r*
400×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04154740
19524550
229084512
373274480
Stop Event
node limit
Counts
224 → 234
Calls
Call 1
Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(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 (exp.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(*.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(*.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(*.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
(*.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)) (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (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 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
(/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (*.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)) (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x -6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1 238732414637843/250000000000000)
(fma.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 238732414637843/250000000000000)
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 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
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(*.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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
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(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 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 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(*.f64 x (fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.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)
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 -6450306886639899/50000000000000000 x) 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 -6450306886639899/50000000000000000 x) 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 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.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 -6450306886639899/50000000000000000 x) 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 -6450306886639899/50000000000000000 x) 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 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.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)
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(fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)

localize92.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.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 x -6450306886639899/50000000000000000))
99.8%
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
58.2%
(/.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)

series30.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(*.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)))
1.0ms
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
@0
(*.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)))
0.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite189.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1536×log-prod
1032×fma-def
640×prod-diff
522×expm1-udef
516×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013115
130455
2417555
Stop Event
node limit
Counts
3 → 246
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)))
(*.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)))
Outputs
(+.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(+.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 56993165798814994692847692649/62500000000000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 56993165798814994692847692649/62500000000000000000000000000)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 1))) (fma.f64 (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) 1 (*.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 1)))
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(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))))) (fma.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))
(+.f64 (fma.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 56993165798814994692847692649/62500000000000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 56993165798814994692847692649/62500000000000000000000000000)))
(+.f64 (fma.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 1))) (fma.f64 (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) 1 (*.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) 1)))
(+.f64 (fma.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (*.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))) (*.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))) (*.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (*.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000))) (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))))))
(+.f64 (fma.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)) (neg.f64 (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))))) (fma.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))

simplify679.0ms (5.8%)

Algorithm
egg-herbie
Rules
1136×unswap-sqr
758×associate-+r-
410×+-commutative
398×fma-neg
362×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059025562
1141221224
2419615248
Stop Event
node limit
Counts
282 → 447
Calls
Call 1
Inputs
238732414637843/250000000000000
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(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 238732414637843/250000000000000)
(fma.f64 (*.f64 (*.f64 x -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.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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Outputs
238732414637843/250000000000000
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(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))

eval1.6s (13.4%)

Compiler

Compiled 34392 to 24231 computations (29.5% saved)

prune425.0ms (3.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New109831101
Fresh112
Picked011
Done055
Total1099101109
Accurracy
100.0%
Counts
1109 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
4.8%
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
99.9%
(-.f64 (*.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)))
52.0%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
69.9%
(*.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))
52.0%
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
52.0%
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
49.4%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 101 to 73 computations (27.7% saved)

localize71.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite121.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1292×pow1
1190×add-exp-log
1190×log1p-expm1-u
1190×expm1-log1p-u
1164×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0739
114233
2164633
Stop Event
node limit
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 (*.f64 -6450306886639899/50000000000000000 x) x)
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
(*.f64 -6450306886639899/50000000000000000 x)
Outputs
(-.f64 (+.f64 1 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))) 1)
(pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 2))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 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 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 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))))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 x)) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 x)))

simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
2060×log-prod
1744×fma-def
986×unswap-sqr
654×fma-neg
510×log-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080807
1194741
2783675
33160675
46791675
Stop Event
node limit
Counts
57 → 39
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 x (*.f64 -6450306886639899/50000000000000000 x))) 1)
(pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 2))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 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 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 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))))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 x)) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 2)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 x)))
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 x (*.f64 -6450306886639899/50000000000000000 x))) 1)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 1)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))) 3)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x) 2)
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x)) 2))
(*.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 x (*.f64 -6450306886639899/50000000000000000 x)) 3))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 x))))
(*.f64 -6450306886639899/50000000000000000 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -6450306886639899/50000000000000000 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 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 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))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 x)) 1)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 1)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 3)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 x)) 2)
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 x) 3))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 x)))
(+.f64 1 (-.f64 (*.f64 -6450306886639899/50000000000000000 x) 1))
(+.f64 (*.f64 -6450306886639899/50000000000000000 x) 0)
(*.f64 -6450306886639899/50000000000000000 x)

localize28.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 x 3)
99.9%
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize37.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x 238732414637843/250000000000000)
55.1%
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

rewrite114.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1650×pow1
1546×add-exp-log
1546×log1p-expm1-u
1546×expm1-log1p-u
1526×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
11767
223637
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
Outputs
(+.f64 1 (fma.f64 x 238732414637843/250000000000000 -1))
(+.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(+.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)
(+.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))
(+.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))
(*.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1)) (fma.f64 x 238732414637843/250000000000000 -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1))) (-.f64 1 (fma.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 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(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)))
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)

simplify59.0ms (0.5%)

Algorithm
egg-herbie
Rules
1474×times-frac
1078×fma-neg
1000×fma-def
872×div-sub
586×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105961
1245893
2813881
34601781
Stop Event
node limit
Counts
55 → 57
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 1 (fma.f64 x 238732414637843/250000000000000 -1))
(+.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(+.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)
(+.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))
(+.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))
(*.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1)) (fma.f64 x 238732414637843/250000000000000 -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1))) (-.f64 1 (fma.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 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(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)))
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
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 1 (fma.f64 x 238732414637843/250000000000000 -1))
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (fma.f64 x 238732414637843/250000000000000 -1) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2)) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x -238732414637843/250000000000000 -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 x -238732414637843/250000000000000 -2))
(*.f64 1 (/.f64 (*.f64 238732414637843/250000000000000 x) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 238732414637843/250000000000000 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x -238732414637843/250000000000000 -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 x -238732414637843/250000000000000 -2))
(*.f64 1 (/.f64 (*.f64 238732414637843/250000000000000 x) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x -238732414637843/250000000000000 -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x -238732414637843/250000000000000 -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 x -238732414637843/250000000000000 -2))
(*.f64 1 (/.f64 (*.f64 238732414637843/250000000000000 x) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 x -238732414637843/250000000000000 -2))
(*.f64 1 (/.f64 (*.f64 238732414637843/250000000000000 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x -238732414637843/250000000000000 -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 x -238732414637843/250000000000000 -2))
(*.f64 1 (/.f64 (*.f64 238732414637843/250000000000000 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1)) (fma.f64 x 238732414637843/250000000000000 -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x -1) (-.f64 (fma.f64 238732414637843/250000000000000 x -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 238732414637843/250000000000000 x -1) 3)) (fma.f64 (fma.f64 238732414637843/250000000000000 x -1) (+.f64 (*.f64 238732414637843/250000000000000 x) -2) 1))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 -1) (fma.f64 x 238732414637843/250000000000000 -1))) (-.f64 1 (fma.f64 x 238732414637843/250000000000000 -1)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x -1) (fma.f64 238732414637843/250000000000000 x -1))) (-.f64 1 (fma.f64 238732414637843/250000000000000 x -1)))
(/.f64 (fma.f64 (fma.f64 238732414637843/250000000000000 x -1) (fma.f64 x -238732414637843/250000000000000 1) 1) (+.f64 (*.f64 x -238732414637843/250000000000000) 2))
(/.f64 (fma.f64 (fma.f64 238732414637843/250000000000000 x -1) (fma.f64 x -238732414637843/250000000000000 1) 1) (+.f64 2 (*.f64 x -238732414637843/250000000000000)))
(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 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(*.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)
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(*.f64 238732414637843/250000000000000 x)

localize48.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.5%
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
99.1%
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms
x
@inf
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms
x
@-inf
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
0.0ms
x
@0
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

rewrite94.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
980×log-prod
786×exp-prod
600×prod-exp
554×pow-prod-down
470×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
122857
2273357
Stop Event
node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
Outputs
(+.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(+.f64 0 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(*.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
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simplify116.0ms (1%)

Algorithm
egg-herbie
Rules
588×log-prod
476×sqr-pow
394×cube-prod
378×associate-+r+
358×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04025010
19074814
230684798
Stop Event
node limit
Counts
200 → 232
Calls
Call 1
Inputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
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(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) -1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 238732414637843/250000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 0 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)
(*.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 -1 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))
(/.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) -1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) -2)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1) -1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
Outputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843)
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 x (*.f64 x 8062883608299873750000000000/56993165798814994692847692649))))
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(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)
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(/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(/.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(/.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) 1) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 2) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (*.f64 x -1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x (*.f64 x 1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2) 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) 2) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2) 1/2)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) -1/6) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) -1/6))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) -2)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) -1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) 1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1) -1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) -1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1/3))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

eval233.0ms (2%)

Compiler

Compiled 5536 to 4211 computations (23.9% saved)

prune70.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4084412
Fresh000
Picked101
Done459
Total4139422
Accurracy
100.0%
Counts
422 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
99.3%
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
49.1%
(/.f64 x 250000000000000/238732414637843)
4.8%
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.0%
(*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
52.0%
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
49.4%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 74 to 52 computations (29.7% saved)

localize63.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 19 to 7 computations (63.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1190×pow1
1108×add-exp-log
1108×log1p-expm1-u
1108×expm1-log1p-u
1082×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114313
2161213
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x x) 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 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 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 (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)))

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Rules
2260×log-prod
954×exp-sum
820×distribute-rgt-in
818×distribute-lft-in
670×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040299
198299
2313299
31880299
45995299
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 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 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 (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 (*.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 (sqrt.f64 -6450306886639899/50000000000000000) (pow.f64 x 3/2)) 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 (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))

localize18.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.2%
(/.f64 x 250000000000000/238732414637843)
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 250000000000000/238732414637843)
0.0ms
x
@inf
(/.f64 x 250000000000000/238732414637843)
0.0ms
x
@-inf
(/.f64 x 250000000000000/238732414637843)

rewrite95.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
988×pow1
976×add-sqr-sqrt
928×add-exp-log
928×log1p-expm1-u
928×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212607
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 x 250000000000000/238732414637843)
Outputs
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (neg.f64 x) -238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(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)
(pow.f64 (/.f64 250000000000000/238732414637843 x) -1)
(neg.f64 (/.f64 x -250000000000000/238732414637843))
(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)))

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Rules
1134×log-prod
1032×distribute-rgt-in
1016×distribute-lft-in
970×fma-def
876×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057245
1131245
2404245
32958245
Stop Event
node limit
Counts
35 → 23
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 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 x 238732414637843/250000000000000)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 (neg.f64 x) -238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(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)
(pow.f64 (/.f64 250000000000000/238732414637843 x) -1)
(neg.f64 (/.f64 x -250000000000000/238732414637843))
(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 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(*.f64 1 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (neg.f64 x) -238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.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)
(pow.f64 (/.f64 250000000000000/238732414637843 x) -1)
(*.f64 238732414637843/250000000000000 x)
(neg.f64 (/.f64 x -250000000000000/238732414637843))
(*.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)

localize72.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 x -6450306886639899/50000000000000000)
99.8%
(*.f64 x (*.f64 x -6450306886639899/50000000000000000))
99.5%
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
99.1%
(/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
Compiler

Compiled 41 to 30 computations (26.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@inf
(/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@-inf
(/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms
x
@-inf
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
0.0ms
x
@inf
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))

rewrite145.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1094×log-prod
652×pow-prod-down
490×pow-prod-up
470×pow-exp
442×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
124242
2308242
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
Outputs
(+.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 1 (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 1 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(+.f64 0 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))
(+.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(*.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 x (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
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(fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 238732414637843/250000000000000 x))
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simplify108.0ms (0.9%)

Algorithm
egg-herbie
Rules
1170×fma-def
1140×times-frac
1030×unswap-sqr
842×distribute-lft-in
840×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823266
16503114
219053106
Stop Event
node limit
Counts
122 → 146
Calls
Call 1
Inputs
250000000000000/238732414637843
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 x (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 (/.f64 x -1) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) -1)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 x)) 2)
(neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x))
Outputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843)
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843) (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) 250000000000000/238732414637843))
(+.f64 250000000000000/238732414637843 (+.f64 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (+.f64 (*.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6))))
(+.f64 250000000000000/238732414637843 (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6) (*.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x)))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)
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(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)
(neg.f64 (+.f64 (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))) (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4)) (/.f64 50000000000000000/6450306886639899 (*.f64 x x))))
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(+.f64 (/.f64 -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6)) (-.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) (/.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6)) (+.f64 (/.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4)) (/.f64 50000000000000000/6450306886639899 (*.f64 x x)))) (/.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (pow.f64 x 8)) (/.f64 -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6))) (+.f64 (/.f64 -2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4)) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(+.f64 (-.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) (/.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 4))) (+.f64 (/.f64 -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow.f64 x 6)) (/.f64 -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (pow.f64 x 8))))
(*.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))
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(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))))
(*.f64 (cbrt.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))) (*.f64 (/.f64 x 1) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (*.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))
(*.f64 x (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(*.f64 x (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 (/.f64 x -1) (neg.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) 1/2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)))
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) -1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (cbrt.f64 x)) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 x)) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1/3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) -1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x (*.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

localize49.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
99.8%
(/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)
99.5%
(/.f64 -50000000000000000/6450306886639899 x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite105.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1696×pow1
1586×add-exp-log
1586×log1p-expm1-u
1586×expm1-log1p-u
1554×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0739
115839
2219839
Stop Event
node limit
Counts
3 → 96
Calls
Call 1
Inputs
(/.f64 -50000000000000000/6450306886639899 x)
(/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
Outputs
(-.f64 (+.f64 1 (/.f64 -50000000000000000/6450306886639899 x)) 1)
(*.f64 -50000000000000000/6450306886639899 (/.f64 1 x))
(*.f64 (/.f64 -50000000000000000/6450306886639899 x) 1)
(*.f64 1 (/.f64 -50000000000000000/6450306886639899 x))
(*.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(*.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(*.f64 50000000000000000/6450306886639899 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) -50000000000000000/6450306886639899)
(pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 1)
(pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 3)
(pow.f64 (pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) -1)
(sqrt.f64 (/.f64 2500000000000000000000000000000000/41606458931834106848498498730201 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(cbrt.f64 (pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 3))
(expm1.f64 (log1p.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(exp.f64 (log.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(log1p.f64 (expm1.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(-.f64 (+.f64 1 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 1)
(*.f64 -50000000000000000/6450306886639899 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 -50000000000000000/6450306886639899 (/.f64 (/.f64 1 x) x))
(*.f64 -50000000000000000/6450306886639899 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -50000000000000000/6450306886639899 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 1)
(*.f64 1 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) (*.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x))
(*.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (*.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (/.f64 1 x)))
(*.f64 (/.f64 50000000000000000/6450306886639899 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 -50000000000000000/6450306886639899 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) (sqrt.f64 x)))
(*.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 -50000000000000000/6450306886639899 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 1) (/.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x) 2)
(pow.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) -1)
(neg.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)))) 1)
(*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)))
(*.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))) 1)
(*.f64 1 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))) 2) (/.f64 1 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 50000000000000000/6450306886639899 (*.f64 x x))))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) (*.f64 x x))
(*.f64 (*.f64 x -6450306886639899/50000000000000000) (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 -50000000000000000/6450306886639899 x)) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)) (/.f64 x (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 (/.f64 x 1) (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)))
(*.f64 (*.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) 1) x)
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(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -50000000000000000/6450306886639899) x)) 2)
(pow.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)) -1)
(neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)))))

simplify103.0ms (0.9%)

Algorithm
egg-herbie
Rules
1574×unswap-sqr
1038×fma-def
816×*-commutative
470×cube-prod
414×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02131968
15391812
224821698
Stop Event
node limit
Counts
120 → 110
Calls
Call 1
Inputs
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(*.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(*.f64 50000000000000000/6450306886639899 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) -50000000000000000/6450306886639899)
(pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 1)
(pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 3)
(pow.f64 (pow.f64 (/.f64 -50000000000000000/6450306886639899 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) -1)
(sqrt.f64 (/.f64 2500000000000000000000000000000000/41606458931834106848498498730201 (*.f64 x x)))
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(exp.f64 (log.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(log1p.f64 (expm1.f64 (/.f64 -50000000000000000/6450306886639899 x)))
(-.f64 (+.f64 1 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) 1)
(*.f64 -50000000000000000/6450306886639899 (*.f64 (/.f64 1 x) (/.f64 1 x)))
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(*.f64 (/.f64 -50000000000000000/6450306886639899 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 -50000000000000000/6450306886639899 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -50000000000000000/6450306886639899 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)))
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(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (/.f64 -50000000000000000/6450306886639899 x))) 3))
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Outputs
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(/.f64 -50000000000000000/6450306886639899 (*.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(-.f64 (+.f64 1 (/.f64 -50000000000000000/6450306886639899 x)) 1)
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eval156.0ms (1.3%)

Compiler

Compiled 5118 to 3736 computations (27% saved)

prune66.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3991400
Fresh000
Picked011
Done178
Total4009409
Accurracy
100.0%
Counts
409 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
99.3%
(/.f64 x (/.f64 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
49.1%
(/.f64 x 250000000000000/238732414637843)
4.8%
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
99.8%
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
52.0%
(*.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) x)
52.0%
(*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)
99.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
49.4%
(*.f64 x 238732414637843/250000000000000)
Compiler

Compiled 74 to 52 computations (29.7% saved)

regimes37.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
(*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)
(*.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) x)
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(*.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 1 (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.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 (pow.f64 x 3) -6450306886639899/50000000000000000)
(*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (sqrt.f64 (pow.f64 x 6))))
Outputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
Calls

2 calls:

16.0ms
x
14.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 167 to 110 computations (34.1% saved)

regimes30.0ms (0.3%)

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

2 calls:

16.0ms
x
8.0ms
(-.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 130 to 82 computations (36.9% saved)

regimes25.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
(*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)
(*.f64 (/.f64 x (/.f64 -50000000000000000/6450306886639899 x)) x)
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
Outputs
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
(*.f64 x 238732414637843/250000000000000)
(*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 51 to 31 computations (39.2% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.00022390644567364657
977.7738285895521
18.0ms
-155730.18737702302
-4.232878710212159e-12
Results
35.0ms304×body256valid
Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes26.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
Outputs
(*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
(*.f64 x 238732414637843/250000000000000)
(*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.00022390644567364657
977.7738285895521
33.0ms
-155730.18737702302
-4.232878710212159e-12
Results
55.0ms304×body256valid
Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes24.0ms (0.2%)

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

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch119.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
93.0ms
0.00022390644567364657
977.7738285895521
26.0ms
-155730.18737702302
-4.232878710212159e-12
Results
48.0ms304×body256valid
Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes83.0ms (0.7%)

Accuracy

Total -0.3b remaining (-0.8%)

Threshold costs -0.3b (-0.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)
Outputs
(*.f64 x 238732414637843/250000000000000)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
49.4%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify74.0ms (0.6%)

Algorithm
egg-herbie
Rules
26×*-commutative
10×+-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036234
161234
273234
379234
483234
584234
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.f64 x (+.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x)) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x)) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(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 (*.f64 238732414637843/250000000000000 x) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(*.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 (*.f64 -6450306886639899/50000000000000000 x) x)) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 (*.f64 (*.f64 x x) x) -6450306886639899/50000000000000000)))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 238732414637843/250000000000000 x) (*.f64 -6450306886639899/50000000000000000 (*.f64 x (*.f64 x x)))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 (*.f64 -6450306886639899/50000000000000000 x) x)) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3039929748475085/1125899906842624) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(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 -6450306886639899/50000000000000000 (*.f64 x x))) (*.f64 238732414637843/250000000000000 x))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
Compiler

Compiled 96 to 66 computations (31.3% saved)

soundness2.1s (18%)

Rules
1842×fma-def
1750×pow1
1632×add-exp-log
1632×log1p-expm1-u
1632×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04877358
110956810
233096602
01031
12421
25821
313721
422921
538821
676121
7164521
8257921
9377321
10470521
11548821
12572721
13603721
14684721
0921082
12181064
29031032
339771026
0936
118136
2202636
059025562
1141221224
2419615248
04877358
110956810
233096602
01041
121041
2223441
0936
118136
2202636
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 335 to 216 computations (35.5% saved)

end130.0ms (1.1%)

Compiler

Compiled 206 to 134 computations (35% saved)

Profiling

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