Details

Time bar (total: 4.7s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
83.3%62.5%12.5%0%25%0%0%5
90.9%62.5%6.2%0%31.2%0%0%6
95.5%65.6%3.1%0%31.2%0%0%7
97.7%65.6%1.6%0%32.8%0%0%8
98.8%66.4%0.8%0%32.8%0%0%9
99.4%66.4%0.4%0%33.2%0%0%10
99.7%66.6%0.2%0%33.2%0%0%11
99.9%66.6%0.1%0%33.3%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample825.0ms (17.7%)

Results
813.0ms8256×body256valid
0.0msbody256infinite
Bogosity

preprocess106.0ms (2.3%)

Algorithm
egg-herbie
Rules
1486×fma-def_binary64
783×fma-neg_binary64
357×associate-*l*_binary64
315×distribute-rgt-neg-in_binary64
295×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11713
24511
311611
424111
532011
647511
780711
8170011
9256911
10348411
11466811
12559311
13603211
14626311
15656411
16767811
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Outputs
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify101.0ms (2.2%)

Algorithm
egg-herbie
Rules
1486×fma-def_binary64
783×fma-neg_binary64
357×associate-*l*_binary64
315×distribute-rgt-neg-in_binary64
295×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11713
24511
311611
424111
532011
647511
780711
8170011
9256911
10348411
11466811
12559311
13603211
14626311
15656411
16767811
Stop Event
node limit
Counts
1 → 4
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Outputs
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))

eval1.0ms (0%)

Compiler

Compiled 36 to 24 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Error
0.1b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
1.0ms
x
@0
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
1.0ms
x
@0
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.0ms
x
@-inf
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
0.0ms
x
@-inf
(*.f64 x (-.f64 3 (*.f64 x 2)))

rewrite61.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
878×pow1_binary64
819×add-log-exp_binary64
818×log1p-expm1-u_binary64
818×expm1-log1p-u_binary64
806×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117623
2221123
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(*.f64 x (-.f64 3 (*.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (+.f64 3 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) (*.f64 (*.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 (pow.f64 x 3) 8)) x) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))))))

simplify53.0ms (1.1%)

Algorithm
egg-herbie
Rules
843×log-prod_binary64
437×fma-neg_binary64
418×unswap-sqr_binary64
290×distribute-rgt-in_binary64
287×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0109750
1257645
2917621
34267621
46819621
Stop Event
node limit
Counts
60 → 63
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 1)
(/.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (+.f64 3 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(+.f64 (*.f64 3 x) (*.f64 (*.f64 x -2) x))
(+.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2)))
(-.f64 (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)
(/.f64 (*.f64 (-.f64 27 (*.f64 (pow.f64 x 3) 8)) x) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
(/.f64 (*.f64 x (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 x (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 1)
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(/.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 9 (fma.f64 (*.f64 x x) 4 (*.f64 x 6))) (-.f64 27 (*.f64 (pow.f64 x 3) 8))))
(/.f64 (*.f64 x (*.f64 x (+.f64 27 (*.f64 (pow.f64 x 3) -8)))) (+.f64 9 (*.f64 x (+.f64 (*.f64 x 4) 6))))
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 3)) (+.f64 9 (*.f64 (*.f64 x x) -4)))
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (/.f64 (fma.f64 x 2 3) x)))
(pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3) 1/3)
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))) 3)
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 2))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2)))) 3))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 (*.f64 x -2) x))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(-.f64 (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x -2)))) 1)
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(/.f64 (*.f64 (-.f64 27 (*.f64 (pow.f64 x 3) 8)) x) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (-.f64 27 (*.f64 (pow.f64 x 3) 8)) (/.f64 (+.f64 9 (fma.f64 (*.f64 x x) 4 (*.f64 x 6))) x))
(/.f64 (+.f64 27 (*.f64 (pow.f64 x 3) -8)) (/.f64 (+.f64 9 (*.f64 x (+.f64 (*.f64 x 4) 6))) x))
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 9 (*.f64 (*.f64 x x) -4)) (/.f64 (fma.f64 x 2 3) x))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(/.f64 (*.f64 x (-.f64 27 (*.f64 (pow.f64 x 3) 8))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (-.f64 27 (*.f64 (pow.f64 x 3) 8)) (/.f64 (+.f64 9 (fma.f64 (*.f64 x x) 4 (*.f64 x 6))) x))
(/.f64 (+.f64 27 (*.f64 (pow.f64 x 3) -8)) (/.f64 (+.f64 9 (*.f64 x (+.f64 (*.f64 x 4) 6))) x))
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))
(/.f64 (*.f64 x (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 9 (*.f64 (*.f64 x x) -4)) (/.f64 (fma.f64 x 2 3) x))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 1)
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3) 1/3)
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 3)
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))) 2)
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 2))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2))))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 x -2))) 3))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(exp.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))
(*.f64 x (+.f64 3 (*.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms
x
@inf
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite43.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
857×pow1_binary64
800×add-log-exp_binary64
799×log1p-expm1-u_binary64
799×expm1-log1p-u_binary64
785×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117613
2220113
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

simplify40.0ms (0.9%)

Algorithm
egg-herbie
Rules
848×log-prod_binary64
709×associate-*l*_binary64
612×associate-*r*_binary64
236×associate-+l+_binary64
233×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075447
1204393
2689377
34565377
Stop Event
node limit
Counts
31 → 34
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)
(/.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(/.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 9 (fma.f64 (*.f64 x x) 4 (*.f64 x 6))) (+.f64 27 (*.f64 -8 (pow.f64 x 3)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 27 (*.f64 (pow.f64 x 3) -8))) (+.f64 9 (*.f64 x (+.f64 (*.f64 x 4) 6))))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))
(*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (fma.f64 (pow.f64 x 3) -8 27)))
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 x (*.f64 x 4)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 3)) (+.f64 9 (*.f64 (*.f64 x x) -4)))
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3))
(/.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 9 (fma.f64 (*.f64 x x) 4 (*.f64 x 6))) (+.f64 27 (*.f64 -8 (pow.f64 x 3)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 27 (*.f64 (pow.f64 x 3) -8))) (+.f64 9 (*.f64 x (+.f64 (*.f64 x 4) 6))))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))
(*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (fma.f64 (pow.f64 x 3) -8 27)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 x (*.f64 x 4)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 3)) (+.f64 9 (*.f64 (*.f64 x x) -4)))
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3))
(pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x -2))))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))

eval68.0ms (1.5%)

Compiler

Compiled 1284 to 870 computations (32.2% saved)

prune18.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New871097
Fresh000
Picked011
Done011
Total871299
Error
0b
Counts
99 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
5.7b
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.2b
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
0.3b
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))
0.3b
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (/.f64 (fma.f64 x 2 3) x)))
0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
0.2b
(*.f64 x (/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))
0.2b
(*.f64 x (/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
24.9b
(*.f64 x (*.f64 x (*.f64 x -2)))
16.0b
(*.f64 x (*.f64 3 x))
16.1b
(*.f64 3 (*.f64 x x))
24.8b
(*.f64 -2 (pow.f64 x 3))
Compiler

Compiled 278 to 192 computations (30.9% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) 4)
0.1b
(*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x)
0.2b
(*.f64 x (/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))
0.3b
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
Compiler

Compiled 70 to 44 computations (37.1% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
0.0ms
x
@inf
(*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x)
0.0ms
x
@inf
(*.f64 x (/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))

rewrite66.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
757×log-prod_binary64
440×prod-diff_binary64
265×fma-def_binary64
255×expm1-udef_binary64
255×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01467
131443
2424741
Stop Event
node limit
Counts
4 → 119
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2)))
(*.f64 x (/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))
(*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x)
(*.f64 (*.f64 x x) 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) x)) (/.f64 (*.f64 x (*.f64 x 4)) (/.f64 (fma.f64 x 2 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 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(fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (fma.f64 (*.f64 x x) -4 9)) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (/.f64 (fma.f64 x 2 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))) (sqrt.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -4 9))) x) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -4 9)))) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 x) (*.f64 (*.f64 (*.f64 x x) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) (*.f64 x (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) x) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x (*.f64 (*.f64 (*.f64 x x) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 (*.f64 x (*.f64 (*.f64 x x) -4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4))) 1))))))

simplify61.0ms (1.3%)

Algorithm
egg-herbie
Rules
953×fma-def_binary64
633×unswap-sqr_binary64
584×associate-/l/_binary64
247×log-prod_binary64
166×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03092406
17212089
228662006
Stop Event
node limit
Counts
167 → 176
Calls
Call 1
Inputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 9 x)
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(+.f64 0 (*.f64 (+.f64 3 (*.f64 -2 x)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1)
(-.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) x)) (/.f64 (*.f64 x (*.f64 x 4)) (/.f64 (fma.f64 x 2 3) x)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) x)))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (/.f64 1 (fma.f64 x 2 3)))
(*.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 1)
(*.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(*.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (+.f64 3 (*.f64 -2 x)) x)
(*.f64 (/.f64 x 1) (+.f64 3 (*.f64 -2 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (fma.f64 (*.f64 x x) -4 9) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) 1) (/.f64 x (fma.f64 x 2 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (fma.f64 (*.f64 x x) -4 9)) (+.f64 3 (*.f64 -2 x)))
(pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2)
(pow.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) -1)
(neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (neg.f64 (fma.f64 x 2 3))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3) (pow.f64 (fma.f64 x 2 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 1))
(+.f64 0 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) 1)
(/.f64 x (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (/.f64 (fma.f64 x 2 3) x))
(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (neg.f64 (fma.f64 x 2 3)))
(/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1) (fma.f64 x 2 3))
(/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (fma.f64 x 2 3)))
(/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))) (sqrt.f64 (fma.f64 x 2 3)))
(/.f64 (*.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -4 9))) x) (neg.f64 (fma.f64 x 2 3)))
(/.f64 (*.f64 x (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -4 9)))) (neg.f64 (fma.f64 x 2 3)))
(pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1))
(+.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))
(+.f64 (*.f64 9 x) (*.f64 (*.f64 (*.f64 x x) -4) x))
(+.f64 (*.f64 x 9) (*.f64 x (*.f64 (*.f64 x x) -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 1)
(/.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) x) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 4) 9))
(/.f64 (*.f64 x (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))
(/.f64 (*.f64 x (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1))
(fma.f64 9 x (*.f64 (*.f64 (*.f64 x x) -4) x))
(fma.f64 x 9 (*.f64 x (*.f64 (*.f64 x x) -4)))
(+.f64 0 (*.f64 x (*.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4)))) 1)
(pow.f64 (*.f64 x (*.f64 x 4)) 1)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)
(pow.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4)))))
(cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4))) 1))
Outputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 9 x)
(*.f64 x 9)
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(*.f64 4 (pow.f64 x 2))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(+.f64 0 (*.f64 (+.f64 3 (*.f64 -2 x)) x))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (+.f64 3 (*.f64 x -2))))) (cbrt.f64 (exp.f64 (*.f64 x (+.f64 3 (*.f64 x -2))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 3 (*.f64 x -2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1)
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(-.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) x)) (/.f64 (*.f64 x (*.f64 x 4)) (/.f64 (fma.f64 x 2 3) x)))
(*.f64 x (-.f64 (/.f64 9 (fma.f64 x 2 3)) (/.f64 x (/.f64 (fma.f64 x 2 3) (*.f64 x 4)))))
(fma.f64 x (/.f64 9 (fma.f64 x 2 3)) (/.f64 -4 (/.f64 (fma.f64 x 2 3) (pow.f64 x 3))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) x)))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) x)))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) x)))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
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(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 2))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 3 (*.f64 -2 x)) x)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)))))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x)) 3))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) x) 3) (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 3 (*.f64 -2 x)) x))) 1))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 9 x) (*.f64 (*.f64 (*.f64 x x) -4) x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (*.f64 x 9) (*.f64 x (*.f64 (*.f64 x x) -4)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -4) 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -4) 9)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -4) 9)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 1)
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(/.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) x) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))
(/.f64 (*.f64 x (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 (*.f64 x x) 36))))
(*.f64 (/.f64 (+.f64 729 (*.f64 (pow.f64 x 6) -64)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 x (*.f64 x 36))))) x)
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) -64 729) (fma.f64 16 (pow.f64 x 4) (fma.f64 x (*.f64 x 36) 81))) x)
(/.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 4) 9))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x 4) 9) (+.f64 81 (*.f64 -16 (pow.f64 x 4)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x 4) 9)) (+.f64 81 (*.f64 (pow.f64 x 4) -16)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x 4) 9)) (fma.f64 (pow.f64 x 4) -16 81))
(/.f64 (*.f64 x (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))
(/.f64 (*.f64 x (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 (*.f64 x x) 36))))
(*.f64 (/.f64 (+.f64 729 (*.f64 (pow.f64 x 6) -64)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 x (*.f64 x 36))))) x)
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) -64 729) (fma.f64 16 (pow.f64 x 4) (fma.f64 x (*.f64 x 36) 81))) x)
(/.f64 (*.f64 x (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x 4) 9) (+.f64 81 (*.f64 -16 (pow.f64 x 4)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x 4) 9)) (+.f64 81 (*.f64 (pow.f64 x 4) -16)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x 4) 9)) (fma.f64 (pow.f64 x 4) -16 81))
(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 1)
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3) 1/3)
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3)
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 2)
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 2))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -4 9)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 3))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 x 3)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(fma.f64 9 x (*.f64 (*.f64 (*.f64 x x) -4) x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(fma.f64 x 9 (*.f64 x (*.f64 (*.f64 x x) -4)))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(*.f64 x (fma.f64 x (*.f64 x -4) 9))
(+.f64 0 (*.f64 x (*.f64 x 4)))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4)))) 1)
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(pow.f64 (*.f64 x (*.f64 x 4)) 1)
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 2)
(*.f64 x (*.f64 x 4))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(pow.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 64 (pow.f64 x 6)))
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4)))))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4))))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4))))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4))))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4))) 1))
(*.f64 x (*.f64 x 4))
(pow.f64 (+.f64 x x) 2)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 3 (*.f64 x x))
0.0ms
x
@0
(*.f64 3 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 3 (*.f64 x x))

rewrite36.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
432×pow1_binary64
419×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
400×add-log-exp_binary64
400×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211467
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 3 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Rules
1127×log-prod_binary64
440×associate-*l*_binary64
387×associate-*r*_binary64
335×associate-+l+_binary64
304×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045182
1107182
2389182
33098182
46859182
Stop Event
node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 0 (*.f64 3 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))) (*.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))
(-.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)
(pow.f64 (*.f64 3 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 0 (*.f64 3 (*.f64 x x)))
(*.f64 3 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))) (*.f64 x x))
(*.f64 3 (*.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))
(*.f64 3 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (*.f64 3 (*.f64 x x)) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)
(*.f64 3 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)
(*.f64 3 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(*.f64 3 (*.f64 x x))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(*.f64 3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(*.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))
(*.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))
(*.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))
(*.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))
(*.f64 3 (*.f64 x x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x (*.f64 x -2)))
Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 x (*.f64 x (*.f64 x -2)))
1.0ms
x
@0
(*.f64 x (*.f64 x (*.f64 x -2)))
0.0ms
x
@inf
(*.f64 x (*.f64 x (*.f64 x -2)))

rewrite38.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
551×pow1_binary64
509×add-log-exp_binary64
509×log1p-expm1-u_binary64
509×expm1-log1p-u_binary64
499×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11227
214157
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (*.f64 x -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -2)))))))

simplify40.0ms (0.9%)

Algorithm
egg-herbie
Rules
1145×log-prod_binary64
463×exp-sum_binary64
376×associate-*l*_binary64
342×associate-*r*_binary64
295×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032161
181161
2315161
32213161
46465161
Stop Event
node limit
Counts
23 → 12
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -2)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -2) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -2)) 3)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -2)))
Outputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -2)) 1)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -2) 1)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3) 1/3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -2)) 3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)
(*.f64 -2 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 2))
(*.f64 -2 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -2)))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -2) 3))
(*.f64 -2 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -2)))
(*.f64 -2 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -2)))
(*.f64 -2 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -2)))
(*.f64 -2 (pow.f64 x 3))

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) 4)
0.1b
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))
0.2b
(*.f64 x (/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))))
0.3b
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
Compiler

Compiled 74 to 48 computations (35.1% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))
0.0ms
x
@-inf
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))
0.0ms
x
@0
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
0.0ms
x
@0
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))
0.0ms
x
@inf
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))

rewrite71.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
784×log-prod_binary64
470×prod-diff_binary64
259×fma-def_binary64
257×expm1-udef_binary64
257×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01466
131933
2445033
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4))))
(*.f64 x (/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))))
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) (*.f64 (*.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) 9) (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2) (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (*.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 2 3)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 3)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (fma.f64 x 2 3))) (neg.f64 (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) 1) (fma.f64 (*.f64 x x) -4 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x 2 3)) 9 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 x x) -4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x))))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 2 3)) (*.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (*.f64 (pow.f64 (*.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (*.f64 x x) (*.f64 (pow.f64 x 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (*.f64 (pow.f64 x 4) 16))) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (*.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))) 1))))))

simplify98.0ms (2.1%)

Algorithm
egg-herbie
Rules
862×fma-def_binary64
446×associate-/r/_binary64
378×associate-/l/_binary64
311×fma-neg_binary64
243×log-div_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03312406
18451943
230301879
374181871
Stop Event
node limit
Counts
152 → 196
Calls
Call 1
Inputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2))))
(+.f64 (*.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(+.f64 0 (*.f64 x (+.f64 3 (*.f64 -2 x))))
(+.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) (*.f64 (*.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) 9) (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 x x) -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))))) 1)
(*.f64 x (+.f64 3 (*.f64 -2 x)))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 x (fma.f64 x 2 3)))
(*.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 1)
(*.f64 1 (*.f64 x (+.f64 3 (*.f64 -2 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 3 (*.f64 -2 x))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2) (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 3 (*.f64 -2 x))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (+.f64 3 (*.f64 -2 x)) x)
(*.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9))
(*.f64 (/.f64 1 (fma.f64 x 2 3)) (/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 x 1) (+.f64 3 (*.f64 -2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 2 3)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 3)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x 2 3))) (neg.f64 (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) 1) (fma.f64 (*.f64 x x) -4 9))
(*.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9)))
(pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2)
(pow.f64 (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x) -1)
(neg.f64 (/.f64 x (/.f64 -1 (+.f64 3 (*.f64 -2 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 3 (*.f64 -2 x)))) 1))
(fma.f64 9 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))
(fma.f64 (/.f64 x (fma.f64 x 2 3)) 9 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 x x) -4)))
(+.f64 0 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x))))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))) 1)
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (*.f64 x x)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (+.f64 3 (*.f64 -2 x))))
(/.f64 (/.f64 (*.f64 x x) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))) 3)
(pow.f64 (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 -2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (+.f64 3 (*.f64 -2 x))))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))) 1))
(+.f64 0 (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) 1)
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (sqrt.f64 (fma.f64 x 2 3)) (*.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (fma.f64 x 2 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (*.f64 (pow.f64 (*.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (*.f64 x x) (*.f64 (pow.f64 x 4) 16))))
(*.f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (*.f64 (pow.f64 x 4) 16))) (fma.f64 x (*.f64 x 4) 9))
(pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) 2)
(pow.f64 (+.f64 3 (*.f64 -2 x)) -1)
(neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))) 1))
Outputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 x (*.f64 x -2))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (*.f64 x 2/9))
(fma.f64 x 2/9 1/3)
(+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 2/9 x (*.f64 4/27 (*.f64 x x))))
(+.f64 1/3 (fma.f64 x 2/9 (*.f64 4/27 (*.f64 x x))))
(fma.f64 x 2/9 (fma.f64 x (*.f64 x 4/27) 1/3))
(+.f64 (*.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(fma.f64 8/81 (pow.f64 x 3) (+.f64 1/3 (fma.f64 2/9 x (*.f64 4/27 (*.f64 x x)))))
(+.f64 (fma.f64 x 2/9 (*.f64 4/27 (*.f64 x x))) (fma.f64 (pow.f64 x 3) 8/81 1/3))
(fma.f64 (pow.f64 x 3) 8/81 (fma.f64 x 2/9 (fma.f64 x (*.f64 x 4/27) 1/3)))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)) (/.f64 9/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x)) (/.f64 -9/8 (pow.f64 x 3)))
(fma.f64 (/.f64 1 x) (-.f64 -1/2 (/.f64 3/4 x)) (/.f64 -9/8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -3/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 4)))))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (-.f64 (/.f64 -9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4)))))
(-.f64 (fma.f64 (/.f64 1 x) (-.f64 -1/2 (/.f64 3/4 x)) (/.f64 -9/8 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 4)))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)) (/.f64 9/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x)) (/.f64 -9/8 (pow.f64 x 3)))
(fma.f64 (/.f64 1 x) (-.f64 -1/2 (/.f64 3/4 x)) (/.f64 -9/8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -3/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 4)))))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (-.f64 (/.f64 -9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4)))))
(-.f64 (fma.f64 (/.f64 1 x) (-.f64 -1/2 (/.f64 3/4 x)) (/.f64 -9/8 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 4)))
(+.f64 0 (*.f64 x (+.f64 3 (*.f64 -2 x))))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) (*.f64 (*.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (+.f64 9 (*.f64 x (*.f64 x -4))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) 9) (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 (*.f64 x x) -4)))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (+.f64 9 (*.f64 x (*.f64 x -4))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 x -2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))))) 1)
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 x (+.f64 3 (*.f64 -2 x)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 x (fma.f64 x 2 3)))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (+.f64 9 (*.f64 x (*.f64 x -4))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x -4) 9) (fma.f64 x 2 3)))
(*.f64 (*.f64 x (+.f64 3 (*.f64 -2 x))) 1)
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 1 (*.f64 x (+.f64 3 (*.f64 -2 x))))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 3 (*.f64 -2 x))))
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(/.f64 1 (fma.f64 x -2 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 x -2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 x -2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 x -2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 x -2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 1 (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 x -2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 x -2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (fma.f64 x -2 3)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 x -2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 x -2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (fma.f64 x -2 3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (sqrt.f64 (fma.f64 x 2 3)) (*.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (fma.f64 x 2 3))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 x -2))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)) (cbrt.f64 (fma.f64 x -2 3)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9)))
(*.f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (*.f64 (pow.f64 (*.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (*.f64 x x) (*.f64 (pow.f64 x 4) 16))))
(*.f64 (/.f64 (fma.f64 x 2 3) (+.f64 729 (*.f64 (pow.f64 x 6) -64))) (+.f64 81 (fma.f64 36 (*.f64 x x) (*.f64 (pow.f64 x 4) 16))))
(*.f64 (/.f64 (fma.f64 x 2 3) (fma.f64 (pow.f64 x 6) -64 729)) (fma.f64 (*.f64 x x) 36 (fma.f64 (pow.f64 x 4) 16 81)))
(*.f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (*.f64 (pow.f64 x 4) 16))) (fma.f64 x (*.f64 x 4) 9))
(/.f64 (*.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x 4) 9)) (-.f64 81 (*.f64 (pow.f64 x 4) 16)))
(/.f64 (*.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x 4) 9)) (+.f64 81 (*.f64 (pow.f64 x 4) -16)))
(/.f64 (*.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x 4) 9)) (fma.f64 (pow.f64 x 4) -16 81))
(pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3) 1/3)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) 3)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) 2)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (+.f64 3 (*.f64 -2 x)) -1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))) 1))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (pow.f64 x 3))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -2 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -2 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -2 (pow.f64 x 3))

rewrite45.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
503×pow1_binary64
497×add-sqr-sqrt_binary64
474×add-log-exp_binary64
473×log1p-expm1-u_binary64
473×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213217
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))))

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Rules
1136×log-prod_binary64
455×exp-sum_binary64
411×distribute-rgt-in_binary64
404×distribute-lft-in_binary64
324×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037143
196110
231077
3186077
4596777
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 -2)) 3)
(pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -2)) 3)
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -2 (pow.f64 x 3)) 0)
(*.f64 -2 (pow.f64 x 3))

eval147.0ms (3.1%)

Compiler

Compiled 7448 to 5315 computations (28.6% saved)

prune200.0ms (4.3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4287435
Fresh415
Picked011
Done246
Total43413447
Error
0b
Counts
447 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
0.2b
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
0.3b
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
16.3b
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
24.9b
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
16.4b
(*.f64 x (/.f64 x (+.f64 1/3 (*.f64 x 2/9))))
16.1b
(*.f64 x (/.f64 x 1/3))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
24.9b
(*.f64 x (*.f64 x (*.f64 x -2)))
16.0b
(*.f64 x (*.f64 3 x))
16.1b
(*.f64 3 (*.f64 x x))
24.8b
(*.f64 -2 (pow.f64 x 3))
Compiler

Compiled 204 to 144 computations (29.4% saved)

localize44.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 x x) -4 9)
0.0b
(/.f64 (fma.f64 x 2 3) x)
0.2b
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
0.2b
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9))
Compiler

Compiled 53 to 33 computations (37.7% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9))
1.0ms
x
@-inf
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
1.0ms
x
@0
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
0.0ms
x
@0
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9))
0.0ms
x
@inf
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))

rewrite71.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
628×log-prod_binary64
344×pow-prod-down_binary64
320×pow2_binary64
224×pow1/3_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
126355
2347455
Stop Event
node limit
Counts
4 → 166
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9))
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) x)
(fma.f64 (*.f64 x x) -4 9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 2 3) (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 2 3) x) (/.f64 1 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 9 (*.f64 (*.f64 x x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x -4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -4) 1) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -4) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -4) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)) (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 3) 729) (+.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 2) (-.f64 81 (*.f64 (*.f64 (*.f64 x x) -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 2) 81) (fma.f64 x (*.f64 x -4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -4) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)) 1))))))

simplify93.0ms (2%)

Algorithm
egg-herbie
Rules
558×log-prod_binary64
399×cube-prod_binary64
281×associate-*r*_binary64
254×fabs-mul_binary64
236×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04213665
110163532
248563524
Stop Event
node limit
Counts
214 → 257
Calls
Call 1
Inputs
(/.f64 1/3 x)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (+.f64 (*.f64 4/27 x) (*.f64 1/3 (/.f64 1 x))))
(+.f64 2/9 (+.f64 (*.f64 4/27 x) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 8/81 (pow.f64 x 2)))))
(/.f64 -1/2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1/2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(/.f64 3 x)
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
2
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
2
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 0 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 1)
(*.f64 (fma.f64 x 2 3) (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (/.f64 (fma.f64 x 2 3) x) (/.f64 1 (fma.f64 x (*.f64 x -4) 9)))
(*.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))) 1)
(*.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (fma.f64 x 2 3))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (fma.f64 x 2 3))) -2)) (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (sqrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (neg.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -4) 9)) (/.f64 (fma.f64 x 2 3) x))
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(log.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -4) 9))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -4) 9)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -4) 9)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)) 1))
Outputs
(/.f64 1/3 x)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (/.f64 1/3 x))
(+.f64 2/9 (+.f64 (*.f64 4/27 x) (*.f64 1/3 (/.f64 1 x))))
(+.f64 2/9 (fma.f64 4/27 x (/.f64 1/3 x)))
(+.f64 2/9 (fma.f64 x 4/27 (/.f64 1/3 x)))
(+.f64 2/9 (+.f64 (*.f64 4/27 x) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 8/81 (pow.f64 x 2)))))
(+.f64 2/9 (+.f64 (fma.f64 4/27 x (/.f64 1/3 x)) (*.f64 8/81 (*.f64 x x))))
(+.f64 2/9 (fma.f64 x 4/27 (fma.f64 8/81 (*.f64 x x) (/.f64 1/3 x))))
(/.f64 -1/2 (pow.f64 x 2))
(/.f64 -1/2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 9/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3)))))
(+.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 9/8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 5)))))
(-.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 5))))
(-.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(/.f64 -1/2 (pow.f64 x 2))
(/.f64 -1/2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 9/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3)))))
(+.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 9/8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 5)))))
(-.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 3))) (/.f64 27/16 (pow.f64 x 5))))
(-.f64 (/.f64 -9/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(*.f64 3 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3)
(*.f64 (*.f64 3 x) x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2)
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2)
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) 3 (*.f64 (pow.f64 x 3) -2))
(/.f64 3 x)
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
2
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
2
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
(+.f64 2 (*.f64 3 (/.f64 1 x)))
(+.f64 2 (/.f64 3 x))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(*.f64 x (*.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(*.f64 x (*.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(fma.f64 x (*.f64 x -4) 9)
(+.f64 0 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))) 1)
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (fma.f64 x 2 3) (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (fma.f64 x 2 3) x) (/.f64 1 (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))) 1)
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (fma.f64 x 2 3))) -2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x -4) 9)) (fma.f64 x 2 3)) -2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (fma.f64 x 2 3))) -2)) (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x -4) 9)) (fma.f64 x 2 3)) -2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (sqrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (neg.f64 (/.f64 (fma.f64 x 2 3) x)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -4) 9)) (/.f64 (fma.f64 x 2 3) x))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (fma.f64 x (*.f64 x -4) 9)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 3)) x) (fma.f64 x (*.f64 x -4) 9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 x (*.f64 x -4) 9)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) x))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (fma.f64 x 2 3) 1) (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 2 3) x)) (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (/.f64 (fma.f64 x 2 3) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -4) 9))))
(/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) -2) (/.f64 (/.f64 (fma.f64 x 2 3) x) (cbrt.f64 (fma.f64 x (*.f64 x -4) 9))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) -2) (/.f64 (fma.f64 x 2 3) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) -2) (/.f64 (fma.f64 x 2 3) (*.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) -2) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) (/.f64 (fma.f64 x 2 3) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2) (cbrt.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (fma.f64 x (*.f64 x -4) 9))))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 x (*.f64 x -4) 9))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 3) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)))
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(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2))
(fma.f64 x (*.f64 x -4) 9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)) (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 3) 729) (+.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 2) (-.f64 81 (*.f64 (*.f64 (*.f64 x x) -4) 9))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -64) 729) (+.f64 (pow.f64 (*.f64 x (*.f64 x -4)) 2) (-.f64 81 (*.f64 (*.f64 x x) -36))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -64 729) (+.f64 (*.f64 (pow.f64 x 4) 16) (+.f64 81 (*.f64 (*.f64 x x) 36))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) -4) 2) 81) (fma.f64 x (*.f64 x -4) -9))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -4)) 2) -81) (fma.f64 x (*.f64 x -4) -9))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 16) -81) (fma.f64 x (*.f64 x -4) -9))
(/.f64 (fma.f64 (pow.f64 x 4) 16 -81) (fma.f64 x (*.f64 x -4) -9))
(pow.f64 (fma.f64 x (*.f64 x -4) 9) 1)
(fma.f64 x (*.f64 x -4) 9)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 2) 1/2)
(fma.f64 x (*.f64 x -4) 9)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3) 1/3)
(fma.f64 x (*.f64 x -4) 9)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 3)
(fma.f64 x (*.f64 x -4) 9)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)
(fma.f64 x (*.f64 x -4) 9)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 2))
(fma.f64 x (*.f64 x -4) 9)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -4) 9))))
(fma.f64 x (*.f64 x -4) 9)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3))
(fma.f64 x (*.f64 x -4) 9)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)))
(fma.f64 x (*.f64 x -4) 9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -4) 9)) 1))
(fma.f64 x (*.f64 x -4) 9)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 3 x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 3 x))
0.0ms
x
@-inf
(*.f64 x (*.f64 3 x))
0.0ms
x
@inf
(*.f64 x (*.f64 3 x))

rewrite63.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
446×pow1_binary64
430×add-sqr-sqrt_binary64
423×*-un-lft-identity_binary64
412×add-log-exp_binary64
412×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211327
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 x (*.f64 3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))

simplify46.0ms (1%)

Algorithm
egg-herbie
Rules
830×log-prod_binary64
393×associate-*l*_binary64
348×*-commutative_binary64
323×associate-*r*_binary64
259×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041216
194206
2357191
32895191
45767191
Stop Event
node limit
Counts
26 → 19
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 0 (*.f64 x (*.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)
(pow.f64 (*.f64 x (*.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 0 (*.f64 x (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))
(*.f64 3 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 3)) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)
(*.f64 3 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
(*.f64 3 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
(*.f64 3 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))
(*.f64 3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))
(*.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
0.1b
(/.f64 x (/.f64 -1/2 x))
Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 x (/.f64 -1/2 x))
0.0ms
x
@0
(/.f64 x (/.f64 -1/2 x))
0.0ms
x
@-inf
(/.f64 x (/.f64 -1/2 x))
0.0ms
x
@0
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
0.0ms
x
@inf
(*.f64 x (/.f64 x (/.f64 -1/2 x)))

rewrite46.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
686×pow1_binary64
642×add-log-exp_binary64
641×log1p-expm1-u_binary64
641×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113417
2179717
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 x (/.f64 -1/2 x))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) (sqrt.f64 (*.f64 x (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -1/2) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x -1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1/2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x -1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x -1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 -1/2 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))))))

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Rules
937×log-div_binary64
634×associate-/l*_binary64
578×fma-neg_binary64
524×times-frac_binary64
481×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147623
1366623
21356623
36956623
Stop Event
node limit
Counts
86 → 68
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x (/.f64 x -1/2))) 1)
(*.f64 x (/.f64 x -1/2))
(*.f64 (*.f64 x (/.f64 x -1/2)) 1)
(*.f64 1 (*.f64 x (/.f64 x -1/2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) (sqrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1/2 x)))
(*.f64 (/.f64 x -1/2) x)
(*.f64 (/.f64 x 1) (/.f64 x -1/2))
(*.f64 -2 (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) -1/2) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/2 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 x 1/2) (neg.f64 x))
(*.f64 (*.f64 (/.f64 x -1/2) 1) x)
(*.f64 (*.f64 (/.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 x -1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) 2)
(pow.f64 (/.f64 (/.f64 -1/2 x) x) -1)
(neg.f64 (/.f64 x (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x -1/2))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 1)
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(/.f64 (*.f64 x (/.f64 x -1/2)) (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 -1/2 x) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 1/2 x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1/2 x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
Outputs
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x (/.f64 x -1/2))) 1)
(*.f64 -2 (*.f64 x x))
(*.f64 x (/.f64 x -1/2))
(*.f64 -2 (*.f64 x x))
(*.f64 (*.f64 x (/.f64 x -1/2)) 1)
(*.f64 -2 (*.f64 x x))
(*.f64 1 (*.f64 x (/.f64 x -1/2)))
(*.f64 -2 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2))
(*.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x -1/2)))
(*.f64 -2 (*.f64 x x))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) (sqrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 -2 (*.f64 x x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x -1/2)))
(*.f64 -2 (*.f64 x x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1/2 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 x -1/2) x)
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x -1/2))
(*.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 x (/.f64 1 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) -1/2) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/2 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/2 x)))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (*.f64 x x))
(*.f64 (/.f64 x 1/2) (neg.f64 x))
(*.f64 -2 (*.f64 x x))
(*.f64 (*.f64 (/.f64 x -1/2) 1) x)
(*.f64 -2 (*.f64 x x))
(*.f64 (*.f64 (/.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -2 (*.f64 x x))
(*.f64 (*.f64 (/.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -2 (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x -1/2)) 1)
(*.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) 1/3)
(*.f64 -2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x -1/2))) 3)
(*.f64 -2 (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x -1/2))) 2)
(*.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 -1/2 x) x) -1)
(*.f64 -2 (*.f64 x x))
(neg.f64 (/.f64 x (/.f64 1/2 x)))
(*.f64 -2 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 2))
(*.f64 -2 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)))
(*.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3))
(*.f64 -2 (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(*.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (/.f64 x -1/2))))
(*.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 1)
(*.f64 -2 (pow.f64 x 3))
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (*.f64 x (/.f64 x -1/2)) (/.f64 1 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 1 (/.f64 (/.f64 -1/2 x) (*.f64 x x)))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 1/2 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 1/2 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 1/2 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1/2 x))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 -2 (pow.f64 x 3))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 1)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3) 1/3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))) 3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(*.f64 -2 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 2))
(*.f64 -2 (pow.f64 x 3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x -1/2)) x))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x -1/2))) 3))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x -1/2)) 3)))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x -1/2)) 3) (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
(*.f64 -2 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
(*.f64 -2 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 x -1/2)))))
(*.f64 -2 (pow.f64 x 3))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
0.2b
(/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2)))
Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
0.0ms
x
@0
(/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2)))
0.0ms
x
@inf
(/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2)))
0.0ms
x
@0
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
0.0ms
x
@-inf
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))

rewrite54.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
541×log-prod_binary64
408×exp-prod_binary64
306×pow-prod-down_binary64
272×pow2_binary64
195×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122025
2288325
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2)))
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (fma.f64 x 2 3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2) (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (*.f64 (cbrt.f64 (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 x)) (*.f64 (*.f64 3 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 9)) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x 9))) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -9) x) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -9)) (neg.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 9)) 1) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))) (sqrt.f64 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1) 1))))))

simplify54.0ms (1.2%)

Algorithm
egg-herbie
Rules
717×fma-def_binary64
449×unswap-sqr_binary64
364×distribute-rgt-in_binary64
354×distribute-lft-in_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02921690
17711647
225681629
Stop Event
node limit
Counts
118 → 170
Calls
Call 1
Inputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))))
(+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 3 x) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -8/9 (pow.f64 x 4)))))
9/2
(-.f64 9/2 (*.f64 27/4 (/.f64 1 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 27/4 (/.f64 1 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 243/16 (/.f64 1 (pow.f64 x 3))) (*.f64 27/4 (/.f64 1 x))))
9/2
(-.f64 9/2 (*.f64 27/4 (/.f64 1 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 27/4 (/.f64 1 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 243/16 (/.f64 1 (pow.f64 x 3))) (*.f64 27/4 (/.f64 1 x))))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 1)
(*.f64 x (/.f64 1 (*.f64 (fma.f64 x 2 3) 1/9)))
(*.f64 x (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 9 (*.f64 x (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3)))
(*.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 1)
(*.f64 1 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))
(*.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2) (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (*.f64 (cbrt.f64 (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (*.f64 (*.f64 3 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 (*.f64 x -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x 9))
(*.f64 (/.f64 x 1) (/.f64 9 (fma.f64 x 2 3)))
(*.f64 (/.f64 x (fma.f64 x 2 3)) 9)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 9)) (fma.f64 x 2 3)))
(*.f64 (/.f64 (*.f64 3 (sqrt.f64 x)) 1) (/.f64 (*.f64 3 (sqrt.f64 x)) (fma.f64 x 2 3)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 9 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 (/.f64 (*.f64 3 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 3 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))))
(*.f64 (/.f64 (*.f64 x 9) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))
(*.f64 (/.f64 (*.f64 x 9) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 -2 x)))
(pow.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 1)
(pow.f64 (pow.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2)
(pow.f64 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(pow.f64 (/.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))) (sqrt.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))))
(neg.f64 (/.f64 (*.f64 x 9) (neg.f64 (fma.f64 x 2 3))))
(sqrt.f64 (pow.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 2))
(log.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))))
(cbrt.f64 (pow.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 (fma.f64 x 2 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(log1p.f64 (expm1.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(exp.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 1) 1))
(+.f64 0 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 1)
(/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x)))
(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x 9))))
(/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))
(/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 x 2 3))
(/.f64 (neg.f64 (*.f64 x (*.f64 x 9))) (neg.f64 (fma.f64 x 2 3)))
(/.f64 (*.f64 (*.f64 x -9) x) (neg.f64 (fma.f64 x 2 3)))
(/.f64 (*.f64 x (*.f64 x -9)) (neg.f64 (fma.f64 x 2 3)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 9)) 1) (fma.f64 x 2 3))
(/.f64 (/.f64 (*.f64 x (*.f64 x 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (fma.f64 x 2 3)))
(/.f64 (/.f64 (*.f64 x (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))) (sqrt.f64 (fma.f64 x 2 3)))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 x (*.f64 x 9))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1) 1))
Outputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 -2 (*.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 3 x) (*.f64 -2 (pow.f64 x 2))))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 3 x (*.f64 -2 (*.f64 x x))))
(fma.f64 4/3 (pow.f64 x 3) (*.f64 x (fma.f64 x -2 3)))
(+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 3 x) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -8/9 (pow.f64 x 4)))))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 3 x (fma.f64 -2 (*.f64 x x) (*.f64 -8/9 (pow.f64 x 4)))))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 -8/9 (pow.f64 x 4) (*.f64 x (fma.f64 x -2 3))))
9/2
(-.f64 9/2 (*.f64 27/4 (/.f64 1 x)))
(-.f64 9/2 (/.f64 27/4 x))
(+.f64 9/2 (/.f64 -27/4 x))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 27/4 (/.f64 1 x)))
(+.f64 9/2 (-.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 27/4 x)))
(+.f64 9/2 (+.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 -27/4 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 243/16 (/.f64 1 (pow.f64 x 3))) (*.f64 27/4 (/.f64 1 x))))
(-.f64 (+.f64 9/2 (/.f64 81/8 (*.f64 x x))) (+.f64 (/.f64 27/4 x) (/.f64 243/16 (pow.f64 x 3))))
(+.f64 9/2 (-.f64 (+.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 -27/4 x)) (/.f64 243/16 (pow.f64 x 3))))
9/2
(-.f64 9/2 (*.f64 27/4 (/.f64 1 x)))
(-.f64 9/2 (/.f64 27/4 x))
(+.f64 9/2 (/.f64 -27/4 x))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 27/4 (/.f64 1 x)))
(+.f64 9/2 (-.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 27/4 x)))
(+.f64 9/2 (+.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 -27/4 x)))
(-.f64 (+.f64 9/2 (*.f64 81/8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 243/16 (/.f64 1 (pow.f64 x 3))) (*.f64 27/4 (/.f64 1 x))))
(-.f64 (+.f64 9/2 (/.f64 81/8 (*.f64 x x))) (+.f64 (/.f64 27/4 x) (/.f64 243/16 (pow.f64 x 3))))
(+.f64 9/2 (-.f64 (+.f64 (/.f64 81/8 (*.f64 x x)) (/.f64 -27/4 x)) (/.f64 243/16 (pow.f64 x 3))))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (*.f64 x x) (fma.f64 -2 (pow.f64 x 3) (*.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x -2 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (*.f64 -8/9 (pow.f64 x 5)))))
(+.f64 (fma.f64 4/3 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x -2 3))) (*.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (+.f64 -27/4 (/.f64 -243/16 (*.f64 x x))))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (+.f64 -27/4 (/.f64 -243/16 (*.f64 x x))))
(+.f64 0 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 x 2 3))))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))) 1)
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 x (/.f64 1 (*.f64 (fma.f64 x 2 3) 1/9)))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 x (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 9 (*.f64 x (/.f64 1 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3)))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3))) 1)
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 1 (*.f64 9 (/.f64 x (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) 2) (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (*.f64 (cbrt.f64 (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))) (sqrt.f64 (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (*.f64 3 (sqrt.f64 x)) (*.f64 (*.f64 3 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (*.f64 x -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x 9))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (/.f64 x 1) (/.f64 9 (fma.f64 x 2 3)))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (/.f64 x (fma.f64 x 2 3)) 9)
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 9)) (fma.f64 x 2 3)))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
(/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))
(*.f64 (/.f64 (*.f64 3 (sqrt.f64 x)) 1) (/.f64 (*.f64 3 (sqrt.f64 x)) (fma.f64 x 2 3)))
(*.f64 9 (/.f64 x (fma.f64 x 2 3)))
(*.f64 x (/.f64 9 (fma.f64 x 2 3)))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3)))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3))))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 2))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 9 (/.f64 x (fma.f64 x 2 3)))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)) 3))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 1/3))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 3))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9)))) 2))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x 2 3) 1/9))) 1) 1))
(*.f64 (/.f64 x (fma.f64 x 2 3)) (/.f64 x 1/9))
(*.f64 x (*.f64 x (/.f64 9 (fma.f64 x 2 3))))
(*.f64 x (/.f64 x (fma.f64 1/9 (+.f64 x x) 1/3)))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 3 (*.f64 -2 x)))
0.3b
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 3 (*.f64 -2 x)))
0.0ms
x
@inf
(/.f64 1 (+.f64 3 (*.f64 -2 x)))
0.0ms
x
@inf
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
0.0ms
x
@0
(/.f64 1 (+.f64 3 (*.f64 -2 x)))

rewrite55.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
473×log-prod_binary64
366×exp-prod_binary64
292×pow-prod-down_binary64
261×pow2_binary64
180×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
122019
2283819
Stop Event
node limit
Counts
2 → 107
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(/.f64 1 (+.f64 3 (*.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 1 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 x -2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2 3)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x -2 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (/.f64 -1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (fma.f64 x -2 3))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -2 3)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (/.f64 -1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 3 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -2 3) -1/2) (pow.f64 (fma.f64 x -2 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 27)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 9 (pow.f64 (*.f64 x -2) 2))) (-.f64 3 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -2) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -2 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -2 3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x -2 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -2 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -2 3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -2 3) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1) 1))))))

simplify51.0ms (1.1%)

Algorithm
egg-herbie
Rules
781×times-frac_binary64
485×associate-/l*_binary64
399×fma-def_binary64
318×distribute-rgt-in_binary64
307×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02911764
17021709
221111703
Stop Event
node limit
Counts
131 → 155
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2))))
(+.f64 (*.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -2 3))))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)
(*.f64 x (/.f64 1 (/.f64 1 (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 (sqrt.f64 (fma.f64 x -2 3)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x -2 3) -1/2)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (/.f64 -1 (fma.f64 x -2 3))))
(*.f64 (/.f64 x 1) (/.f64 x (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (/.f64 x (/.f64 1 (fma.f64 x -2 3))) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (fma.f64 x -2 3) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x -2 3) -1/2)))
(*.f64 (/.f64 (*.f64 x x) -1) (neg.f64 (fma.f64 x -2 3)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -2 3))) 2) (cbrt.f64 (fma.f64 x -2 3)))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -2 3))) (sqrt.f64 (fma.f64 x -2 3)))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) -1)
(pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)) 1/3)
(pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) 1) -1)
(pow.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -2 3)) x) 2)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(neg.f64 (/.f64 (*.f64 x x) (/.f64 -1 (fma.f64 x -2 3))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))
(fma.f64 (*.f64 x x) 3 (*.f64 (*.f64 x x) (*.f64 x -2)))
(fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 (*.f64 x x) 3))
(fma.f64 3 (*.f64 x x) (*.f64 (*.f64 x -2) (*.f64 x x)))
(fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 3 (*.f64 x x)))
(+.f64 0 (/.f64 1 (fma.f64 x -2 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -2 3)))
(*.f64 (/.f64 1 (fma.f64 x -2 3)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (pow.f64 (fma.f64 x -2 3) -1/2) (pow.f64 (fma.f64 x -2 3) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 3)))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 27)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))
(*.f64 (/.f64 1 (-.f64 9 (pow.f64 (*.f64 x -2) 2))) (-.f64 3 (*.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -2) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(pow.f64 (fma.f64 x -2 3) -1)
(pow.f64 (/.f64 1 (fma.f64 x -2 3)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -2 3))))
(pow.f64 (pow.f64 (fma.f64 x -2 3) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -2 3) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x -2 3) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -2 3) -3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -2 3)) -2)
(pow.f64 (pow.f64 (fma.f64 x -2 3) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -2 3)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x -2 3))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))
(sqrt.f64 (pow.f64 (fma.f64 x -2 3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 3)))))
(cbrt.f64 (pow.f64 (fma.f64 x -2 3) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -2 3) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 3)))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -2 3))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1) 1))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (*.f64 x 2/9))
(fma.f64 x 2/9 1/3)
(+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 2/9 x (*.f64 4/27 (*.f64 x x))))
(+.f64 1/3 (fma.f64 x 2/9 (*.f64 x (*.f64 x 4/27))))
(fma.f64 x 2/9 (fma.f64 4/27 (*.f64 x x) 1/3))
(+.f64 (*.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (*.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(fma.f64 8/81 (pow.f64 x 3) (+.f64 1/3 (fma.f64 2/9 x (*.f64 4/27 (*.f64 x x)))))
(+.f64 (fma.f64 x 2/9 (*.f64 x (*.f64 x 4/27))) (fma.f64 (pow.f64 x 3) 8/81 1/3))
(fma.f64 (pow.f64 x 3) 8/81 (fma.f64 x 2/9 (fma.f64 4/27 (*.f64 x x) 1/3)))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)) (/.f64 9/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x)) (/.f64 -9/8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -3/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -9/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 1/2 x)) (/.f64 9/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -1/2 x)) (/.f64 -9/8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 27/16 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -3/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -3/4 (*.f64 x x)) (/.f64 -9/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 27/16 (pow.f64 x 4))))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 x (/.f64 1 (/.f64 1 (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 x -2 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -2 3) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 x -2 3) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))
(*.f64 (sqrt.f64 (fma.f64 x -2 3)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x -2 3) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -2 3)) (/.f64 x (/.f64 (pow.f64 (fma.f64 x -2 3) -1/2) x)))
(/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 x -2 3) -1/2) (sqrt.f64 (fma.f64 x -2 3))))
(*.f64 (sqrt.f64 (fma.f64 x -2 3)) (*.f64 (/.f64 x (pow.f64 (fma.f64 x -2 3) -1/2)) x))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (/.f64 -1 (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (/.f64 1 (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (/.f64 x (/.f64 1 (fma.f64 x -2 3))) x)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -2 3) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 x -2 3) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) x)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -2 3)))))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) x)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (fma.f64 x -2 3) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x -2 3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -2 3) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 x -2 3) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (*.f64 x x) -1) (neg.f64 (fma.f64 x -2 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -2 3))) 2) (cbrt.f64 (fma.f64 x -2 3)))
(*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -2 3))) 2))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -2 3))) (sqrt.f64 (fma.f64 x -2 3)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4) 1/2)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) -1)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)))
(pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) -2) 1) -1)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) 3)) 1/3)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -2 3)) x) 2)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 6)) 1/3)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (pow.f64 (cbrt.f64 x) 2)) 3)
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x -2 3) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x x) (/.f64 -1 (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -2 3) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) -1))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(fma.f64 (*.f64 x x) 3 (*.f64 (*.f64 x x) (*.f64 x -2)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 (*.f64 x x) 3))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(fma.f64 3 (*.f64 x x) (*.f64 (*.f64 x -2) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 3 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -2 3)))
(*.f64 (fma.f64 x -2 3) (*.f64 x x))
(+.f64 0 (/.f64 1 (fma.f64 x -2 3)))
(/.f64 1 (fma.f64 x -2 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3)))) 1)
(/.f64 1 (fma.f64 x -2 3))
(*.f64 1 (/.f64 1 (fma.f64 x -2 3)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (/.f64 1 (fma.f64 x -2 3)) 1)
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (pow.f64 (fma.f64 x -2 3) -1/2) (pow.f64 (fma.f64 x -2 3) -1/2))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 3)))
(/.f64 1 (fma.f64 x -2 3))
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 27)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))
(/.f64 (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9) (fma.f64 (pow.f64 x 3) -8 27))
(*.f64 (/.f64 1 (-.f64 9 (pow.f64 (*.f64 x -2) 2))) (-.f64 3 (*.f64 x -2)))
(/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 x 2 3) (-.f64 9 (*.f64 4 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -2) (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -2))
(pow.f64 (fma.f64 x -2 3) -1)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (/.f64 1 (fma.f64 x -2 3)) 1)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -2 3))))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (pow.f64 (fma.f64 x -2 3) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -2 3) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -2 3) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 x -2 3) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 x -2 3) -2) 1/2)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (pow.f64 (fma.f64 x -2 3) -3) 1/3)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (cbrt.f64 (fma.f64 x -2 3)) -3)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 3))) 3)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (sqrt.f64 (fma.f64 x -2 3)) -2)
(pow.f64 (pow.f64 (fma.f64 x -2 3) -1/2) 2)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -2 3)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x -2 3))) -1)
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -2 3)))))
(sqrt.f64 (pow.f64 (fma.f64 x -2 3) -2))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 3)))))
(/.f64 1 (fma.f64 x -2 3))
(cbrt.f64 (pow.f64 (fma.f64 x -2 3) -3))
(/.f64 1 (fma.f64 x -2 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 3))))
(/.f64 1 (fma.f64 x -2 3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 3))))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -2 3) -3)) 1/3))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 3)))) 3))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -2 3))) 2))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) -1))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) -1) 1))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -2 3))) 1) 1))
(/.f64 1 (fma.f64 x -2 3))

eval365.0ms (7.8%)

Compiler

Compiled 11350 to 7973 computations (29.8% saved)

prune144.0ms (3.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New6618669
Fresh213
Picked101
Done369
Total66715682
Error
0b
Counts
682 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
24.9b
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
16.1b
(/.f64 (*.f64 x x) 1/3)
24.9b
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
16.1b
(/.f64 x (/.f64 1/3 x))
16.4b
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
16.4b
(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
62.6b
(-.f64 (*.f64 9/2 x) 27/4)
16.3b
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
24.9b
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
16.1b
(*.f64 x (/.f64 x 1/3))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
16.0b
(*.f64 x (*.f64 3 x))
61.2b
(*.f64 x 9/2)
16.1b
(*.f64 3 (*.f64 x x))
24.8b
(*.f64 -2 (pow.f64 x 3))
Compiler

Compiled 172 to 122 computations (29.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 x 1/3))
0.3b
(/.f64 x 1/3)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 x 1/3)
0.0ms
x
@0
(/.f64 x 1/3)
0.0ms
x
@inf
(/.f64 x 1/3)
0.0ms
x
@-inf
(*.f64 x (/.f64 x 1/3))
0.0ms
x
@0
(*.f64 x (/.f64 x 1/3))

rewrite60.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
503×pow1_binary64
493×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×log1p-expm1-u_binary64
472×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
110911
2129711
Stop Event
node limit
Counts
2 → 40
Calls
Call 1
Inputs
(/.f64 x 1/3)
(*.f64 x (/.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))

simplify36.0ms (0.8%)

Algorithm
egg-herbie
Rules
565×log-prod_binary64
440×unswap-sqr_binary64
422×associate-/r/_binary64
388×associate-/l/_binary64
218×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087345
1208345
2749345
33544345
Stop Event
node limit
Counts
64 → 42
Calls
Call 1
Inputs
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x 3)) 1)
(*.f64 x 3)
(*.f64 (*.f64 x 3) 1)
(*.f64 1 (*.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3))
(*.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)))
(*.f64 (neg.f64 x) -3)
(*.f64 3 x)
(pow.f64 (*.f64 x 3) 1)
(pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 3)) 2)
(pow.f64 (/.f64 1/3 x) -1)
(neg.f64 (/.f64 x -1/3))
(sqrt.f64 (*.f64 (*.f64 x x) 9))
(log.f64 (pow.f64 (exp.f64 x) 3))
(cbrt.f64 (pow.f64 (*.f64 x 3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 3)))
(log1p.f64 (expm1.f64 (*.f64 x 3)))
(exp.f64 (log.f64 (*.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)
(/.f64 x (/.f64 1/3 x))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))
(/.f64 (*.f64 x x) 1/3)
(/.f64 (neg.f64 (*.f64 x x)) -1/3)
(/.f64 (*.f64 (neg.f64 x) x) -1/3)
(/.f64 (*.f64 x (neg.f64 x)) -1/3)
(pow.f64 (*.f64 x (*.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
(pow.f64 (/.f64 x (sqrt.f64 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))
Outputs
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x 3)) 1)
(*.f64 3 x)
(*.f64 x 3)
(*.f64 3 x)
(*.f64 (*.f64 x 3) 1)
(*.f64 3 x)
(*.f64 1 (*.f64 x 3))
(*.f64 3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3))
(*.f64 3 x)
(*.f64 (cbrt.f64 (*.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(*.f64 3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)))
(*.f64 3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3))
(*.f64 3 x)
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)))
(*.f64 3 x)
(*.f64 (neg.f64 x) -3)
(*.f64 3 x)
(*.f64 3 x)
(pow.f64 (*.f64 x 3) 1)
(*.f64 3 x)
(pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3)
(*.f64 3 x)
(pow.f64 (cbrt.f64 (*.f64 x 3)) 3)
(*.f64 3 x)
(pow.f64 (sqrt.f64 (*.f64 x 3)) 2)
(*.f64 3 x)
(pow.f64 (/.f64 1/3 x) -1)
(*.f64 3 x)
(neg.f64 (/.f64 x -1/3))
(*.f64 3 x)
(sqrt.f64 (*.f64 (*.f64 x x) 9))
(*.f64 3 x)
(log.f64 (pow.f64 (exp.f64 x) 3))
(*.f64 3 x)
(cbrt.f64 (pow.f64 (*.f64 x 3) 3))
(*.f64 3 x)
(expm1.f64 (log1p.f64 (*.f64 x 3)))
(*.f64 3 x)
(log1p.f64 (expm1.f64 (*.f64 x 3)))
(*.f64 3 x)
(exp.f64 (log.f64 (*.f64 x 3)))
(*.f64 3 x)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)
(*.f64 3 (*.f64 x x))
(/.f64 x (/.f64 1/3 x))
(*.f64 3 (*.f64 x x))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))
(*.f64 3 (*.f64 x x))
(/.f64 (*.f64 x x) 1/3)
(*.f64 3 (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) -1/3)
(*.f64 3 (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) -1/3)
(*.f64 3 (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) -1/3)
(*.f64 3 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x 3)) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)
(*.f64 3 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
(*.f64 3 (*.f64 x x))
(pow.f64 (/.f64 x (sqrt.f64 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))
(*.f64 3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))
(*.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))
(*.f64 3 (*.f64 x x))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (/.f64 1/3 x))
0.4b
(/.f64 1/3 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1/3 x)
0.0ms
x
@-inf
(/.f64 1/3 x)
0.0ms
x
@inf
(/.f64 1/3 x)
0.0ms
x
@0
(/.f64 x (/.f64 1/3 x))
0.0ms
x
@inf
(/.f64 x (/.f64 1/3 x))

rewrite54.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
579×pow1_binary64
544×add-log-exp_binary64
544×log1p-expm1-u_binary64
544×expm1-log1p-u_binary64
533×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
111311
2150611
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 1/3 x)
(/.f64 x (/.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) (sqrt.f64 (/.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/3) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 x (sqrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 1/3 x))))))))

simplify35.0ms (0.7%)

Algorithm
egg-herbie
Rules
736×times-frac_binary64
455×unswap-sqr_binary64
431×associate-/r*_binary64
353×associate-*l/_binary64
317×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0129570
1317513
21150456
Stop Event
node limit
Counts
70 → 66
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1)
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 1/3 x) 1)
(*.f64 1 (/.f64 1/3 x))
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) 1/3)
(pow.f64 (/.f64 1/3 x) 1)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(pow.f64 (*.f64 x 3) -1)
(sqrt.f64 (/.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(exp.f64 (log.f64 (/.f64 1/3 x)))
(-.f64 (+.f64 1 (/.f64 x (/.f64 1/3 x))) 1)
(*.f64 x (*.f64 x 3))
(*.f64 (/.f64 x (/.f64 1/3 x)) 1)
(*.f64 1 (/.f64 x (/.f64 1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) (sqrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 x)))
(*.f64 (*.f64 x 3) x)
(*.f64 3 (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1/3) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1/3 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1/3 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 x (sqrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 1/3 x))))
(*.f64 (/.f64 x 1) (*.f64 x 3))
(*.f64 (/.f64 x -1/3) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x 3) 1) x)
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 x (/.f64 1/3 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) 2)
(pow.f64 (/.f64 1/3 (*.f64 x x)) -1)
(neg.f64 (/.f64 x (/.f64 -1/3 x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1/3 x))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1/3 x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 1/3 x))))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 1/3 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (/.f64 1/3 x) 1)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 1 (/.f64 1/3 x))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (/.f64 1 x) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (/.f64 1/3 x) 1)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (*.f64 x 3) -1)
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(sqrt.f64 (/.f64 1/9 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(exp.f64 (log.f64 (/.f64 1/3 x)))
(+.f64 1 (-.f64 (/.f64 1/3 x) 1))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(-.f64 (+.f64 1 (/.f64 x (/.f64 1/3 x))) 1)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 x (/.f64 1/3 x)) 1)
(*.f64 3 (*.f64 x x))
(*.f64 1 (/.f64 x (/.f64 1/3 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 2) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) (sqrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (*.f64 x 3) x)
(*.f64 3 (*.f64 x x))
(*.f64 3 (/.f64 x (/.f64 1 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) 1/3) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1/3 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1/3 x)))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x 1/3) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (*.f64 3 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 x (sqrt.f64 (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 x 1) (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (/.f64 x -1/3) (neg.f64 x))
(*.f64 3 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x 3) 1) x)
(*.f64 3 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 3 (*.f64 x x))
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 3 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 1/3 x)) 1)
(*.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3) 1/3)
(*.f64 3 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1/3 x))) 3)
(*.f64 3 (*.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1/3 x))) 2)
(*.f64 3 (*.f64 x x))
(pow.f64 (/.f64 1/3 (*.f64 x x)) -1)
(*.f64 3 (*.f64 x x))
(neg.f64 (/.f64 x (/.f64 -1/3 x)))
(*.f64 3 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 2))
(*.f64 3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(*.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1/3 x)) 3))
(*.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 x (/.f64 1/3 x))))
(*.f64 3 (*.f64 x x))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 2/9 (/.f64 1/3 x))
0.2b
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
0.4b
(/.f64 1/3 x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
0.0ms
x
@inf
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
0.0ms
x
@0
(+.f64 2/9 (/.f64 1/3 x))
0.0ms
x
@-inf
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
0.0ms
x
@-inf
(+.f64 2/9 (/.f64 1/3 x))

rewrite73.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
889×pow1_binary64
840×add-log-exp_binary64
840×log1p-expm1-u_binary64
840×expm1-log1p-u_binary64
826×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116417
2219717
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(+.f64 2/9 (/.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 x (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (-.f64 2/9 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2/9 (/.f64 1/3 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 2/9 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/81 (-.f64 2/9 (/.f64 1/3 x))) (/.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))) (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2/9 (/.f64 1/3 x)) (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 4/81 (/.f64 2/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (-.f64 2/9 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (neg.f64 (-.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) 4/81) (-.f64 (/.f64 1/3 x) 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2/9 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 1 x) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/3 x) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 (*.f64 x x))) (cbrt.f64 (/.f64 1/3 x)) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)) 2/9)))))

simplify86.0ms (1.8%)

Algorithm
egg-herbie
Rules
584×log-div_binary64
484×associate-/r*_binary64
436×unswap-sqr_binary64
359×fma-neg_binary64
347×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901225
14601120
215341043
375421043
Stop Event
node limit
Counts
88 → 113
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/3 x)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
2/9
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
2/9
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 1)
(*.f64 x (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)
(*.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))
(*.f64 (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 x (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (/.f64 x (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))
(*.f64 (/.f64 x (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (-.f64 2/9 (/.f64 1/3 x)))
(pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2)
(pow.f64 (/.f64 (+.f64 2/9 (/.f64 1/3 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(-.f64 (+.f64 1 (+.f64 2/9 (/.f64 1/3 x))) 1)
(-.f64 (/.f64 4/81 (-.f64 2/9 (/.f64 1/3 x))) (/.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 2/9 (/.f64 1/3 x))))
(*.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)
(*.f64 1 (+.f64 2/9 (/.f64 1/3 x)))
(*.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))
(*.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 2/9 (/.f64 1/3 x))))
(/.f64 1 (/.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))) (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 2/9 (/.f64 1/3 x)) (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 4/81 (/.f64 2/27 x))))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (-.f64 2/9 (/.f64 1/3 x)))
(/.f64 (neg.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))
(/.f64 (neg.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (neg.f64 (-.f64 2/9 (/.f64 1/3 x))))
(/.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) 4/81) (-.f64 (/.f64 1/3 x) 2/9))
(pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)
(pow.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 2))
(log.f64 (exp.f64 (+.f64 2/9 (/.f64 1/3 x))))
(cbrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 2/9 (/.f64 1/3 x))))
(log1p.f64 (expm1.f64 (+.f64 2/9 (/.f64 1/3 x))))
(exp.f64 (log.f64 (+.f64 2/9 (/.f64 1/3 x))))
(fma.f64 1/3 (/.f64 1 x) 2/9)
(fma.f64 1 (/.f64 1/3 x) 2/9)
(fma.f64 (cbrt.f64 (/.f64 1/9 (*.f64 x x))) (cbrt.f64 (/.f64 1/3 x)) 2/9)
(fma.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)) 2/9)
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (*.f64 x x) (fma.f64 -2 (pow.f64 x 3) (*.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (*.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (*.f64 x x) (fma.f64 -2 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (*.f64 9/2 x) (*.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(/.f64 1/3 x)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
2/9
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
2/9
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(-.f64 (+.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 x (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 1 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 (/.f64 1/3 x) 2/9)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/3 x) 2/9) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (/.f64 -1/3 x) -2/9)))
(/.f64 (neg.f64 x) (+.f64 (/.f64 -1/3 x) -2/9))
(/.f64 (neg.f64 x) (-.f64 -2/9 (/.f64 1/3 x)))
(*.f64 (/.f64 1 (+.f64 2/9 (/.f64 1/3 x))) x)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 (/.f64 1/3 x) 2/9)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/3 x) 2/9) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 x) 2/9)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 x (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 (/.f64 1/3 x) 2/9)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/3 x) 2/9) (cbrt.f64 x)))
(*.f64 (/.f64 x (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))
(*.f64 (/.f64 x (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x)))
(*.f64 (/.f64 x (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 x (/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81))))
(*.f64 (/.f64 x (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (-.f64 2/9 (/.f64 1/3 x)))
(*.f64 (/.f64 x (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (+.f64 2/9 (/.f64 -1/3 x)))
(*.f64 (/.f64 x (+.f64 4/81 (/.f64 -1/9 (*.f64 x x)))) (+.f64 2/9 (/.f64 -1/3 x)))
(pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(pow.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))) 2)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(pow.f64 (/.f64 (+.f64 2/9 (/.f64 1/3 x)) x) -1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (/.f64 1/3 x)) -2/9)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (/.f64 -1/3 x) -2/9)))
(/.f64 (neg.f64 x) (+.f64 (/.f64 -1/3 x) -2/9))
(/.f64 (neg.f64 x) (-.f64 -2/9 (/.f64 1/3 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(log.f64 (exp.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) 3))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(exp.f64 (log.f64 (/.f64 x (+.f64 2/9 (/.f64 1/3 x)))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 1/3 x) 2/9)) 0)
(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
(-.f64 (+.f64 1 (+.f64 2/9 (/.f64 1/3 x))) 1)
(+.f64 (/.f64 1/3 x) 2/9)
(-.f64 (/.f64 4/81 (-.f64 2/9 (/.f64 1/3 x))) (/.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 2/9 (/.f64 1/3 x))))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(*.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)
(+.f64 (/.f64 1/3 x) 2/9)
(*.f64 1 (+.f64 2/9 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 2/9)
(*.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2))
(+.f64 (/.f64 1/3 x) 2/9)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2) (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(*.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81)))
(*.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 2/9 (/.f64 1/3 x))))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))) (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81)))
(/.f64 1 (/.f64 (-.f64 2/9 (/.f64 1/3 x)) (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81)))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 4/81 (/.f64 2/27 x))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81)))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (-.f64 2/9 (/.f64 1/3 x)))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (neg.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 4/81 (-.f64 (/.f64 1/9 (*.f64 x x)) (/.f64 2/27 x)))))
(*.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 4/81 (/.f64 1/9 (*.f64 x x))) (/.f64 2/27 x))))
(/.f64 (+.f64 8/729 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 4/81 (/.f64 -2/27 x))))
(/.f64 (+.f64 -8/729 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (/.f64 -1/9 (*.f64 x x)) (+.f64 (/.f64 2/27 x) -4/81)))
(/.f64 (neg.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x)))) (neg.f64 (-.f64 2/9 (/.f64 1/3 x))))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) 4/81) (-.f64 (/.f64 1/3 x) 2/9))
(/.f64 (-.f64 4/81 (/.f64 1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(/.f64 (+.f64 4/81 (/.f64 -1/9 (*.f64 x x))) (+.f64 2/9 (/.f64 -1/3 x)))
(pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 1)
(+.f64 (/.f64 1/3 x) 2/9)
(pow.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3) 1/3)
(+.f64 (/.f64 1/3 x) 2/9)
(pow.f64 (cbrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 3)
(+.f64 (/.f64 1/3 x) 2/9)
(pow.f64 (sqrt.f64 (+.f64 2/9 (/.f64 1/3 x))) 2)
(+.f64 (/.f64 1/3 x) 2/9)
(sqrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 2))
(+.f64 (/.f64 1/3 x) 2/9)
(log.f64 (exp.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(cbrt.f64 (pow.f64 (+.f64 2/9 (/.f64 1/3 x)) 3))
(+.f64 (/.f64 1/3 x) 2/9)
(expm1.f64 (log1p.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(log1p.f64 (expm1.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(exp.f64 (log.f64 (+.f64 2/9 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 2/9)
(fma.f64 1/3 (/.f64 1 x) 2/9)
(+.f64 (/.f64 1/3 x) 2/9)
(fma.f64 1 (/.f64 1/3 x) 2/9)
(+.f64 (/.f64 1/3 x) 2/9)
(fma.f64 (cbrt.f64 (/.f64 1/9 (*.f64 x x))) (cbrt.f64 (/.f64 1/3 x)) 2/9)
(fma.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)) 2/9)
(+.f64 (/.f64 1/3 x) 2/9)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
0.0ms
x
@inf
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
0.0ms
x
@-inf
(/.f64 (*.f64 x x) (/.f64 -1/2 x))

rewrite45.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
709×pow1_binary64
666×add-log-exp_binary64
665×log1p-expm1-u_binary64
665×expm1-log1p-u_binary64
651×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11377
218857
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 x 3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 x x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1/2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) -2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) -2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x 3) -1/2)))))))

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Rules
530×log-prod_binary64
476×associate-/l*_binary64
398×times-frac_binary64
398×log-div_binary64
353×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110469
1286469
21035469
35072469
Stop Event
node limit
Counts
53 → 46
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 3) -1/2)) 1)
(*.f64 x (*.f64 (*.f64 x x) -2))
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 (*.f64 x x) (*.f64 x -2))
(*.f64 (/.f64 (pow.f64 x 3) -1/2) 1)
(*.f64 1 (/.f64 (pow.f64 x 3) -1/2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (/.f64 1/2 x)))
(*.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 (*.f64 x -2) (/.f64 x (/.f64 1 x)))
(*.f64 (*.f64 (*.f64 x x) -2) x)
(*.f64 -2 (/.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1/2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (/.f64 x 1) (*.f64 (*.f64 x x) -2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (*.f64 x x) 1) (*.f64 x -2))
(*.f64 (/.f64 (*.f64 x x) 1/2) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) 1) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (pow.f64 x 3) -1/2) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 3)
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(pow.f64 (/.f64 -1/2 (pow.f64 x 3)) -1)
(neg.f64 (/.f64 (*.f64 x x) (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) -1/2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) -1/2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) -1/2)))
Outputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 3) -1/2)) 1)
(*.f64 -2 (pow.f64 x 3))
(*.f64 x (*.f64 (*.f64 x x) -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 x x) (*.f64 x -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 x 3) -1/2) 1)
(*.f64 -2 (pow.f64 x 3))
(*.f64 1 (/.f64 (pow.f64 x 3) -1/2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 2) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) (/.f64 x (sqrt.f64 (/.f64 -1/2 x))))
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (/.f64 1/2 x)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 x -2) (/.f64 x (/.f64 1 x)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 x x) -2) x)
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (/.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1/2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 x 1) (*.f64 (*.f64 x x) -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 -1/2 x))))
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 -1/2 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 (*.f64 x x) 1) (*.f64 x -2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (/.f64 (*.f64 x x) 1/2) (neg.f64 x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) 1) x)
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (*.f64 (*.f64 (*.f64 x x) -2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 x 3) -1/2) 1)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3) 1/3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) -1/2)) 3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1/2 x))) 2)
(pow.f64 (/.f64 -1/2 (pow.f64 x 3)) -1)
(*.f64 -2 (pow.f64 x 3))
(neg.f64 (/.f64 (*.f64 x x) (/.f64 1/2 x)))
(*.f64 -2 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 2))
(*.f64 -2 (pow.f64 x 3))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) -1/2) 3))
(*.f64 -2 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)))
(*.f64 -2 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 -2 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 -2 (pow.f64 x 3))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) -1/2)))
(*.f64 -2 (pow.f64 x 3))

eval73.0ms (1.6%)

Compiler

Compiled 3113 to 2224 computations (28.6% saved)

prune75.0ms (1.6%)

Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New2891290
Fresh134
Picked011
Done01010
Total29015305
Error
0b
Counts
305 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
24.9b
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
16.1b
(/.f64 (*.f64 x x) 1/3)
24.9b
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
16.1b
(/.f64 x (/.f64 1/3 x))
16.4b
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
16.1b
(/.f64 x (*.f64 (/.f64 1 x) 1/3))
62.6b
(-.f64 (*.f64 9/2 x) 27/4)
16.3b
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
24.9b
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
16.1b
(*.f64 x (/.f64 x 1/3))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
16.0b
(*.f64 x (*.f64 3 x))
61.2b
(*.f64 x 9/2)
16.1b
(*.f64 3 (*.f64 x x))
24.8b
(*.f64 -2 (pow.f64 x 3))
Compiler

Compiled 108 to 76 computations (29.6% saved)

regimes31.0ms (0.7%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 x (*.f64 (/.f64 1 x) 1/3))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(*.f64 x (/.f64 x (+.f64 1/3 (*.f64 x 2/9))))
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
(*.f64 x (/.f64 (*.f64 x 9) (+.f64 3 (*.f64 x 2))))
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 (+.f64 3 (*.f64 x 2)) (-.f64 9 (*.f64 (*.f64 x x) 4)))))
(*.f64 x (/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))
(/.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (fma.f64 x (*.f64 x -4) 9) (/.f64 x (/.f64 (fma.f64 x 2 3) x)))
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) x) (fma.f64 (*.f64 x x) -4 9)))
(*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))
Outputs
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
Calls

2 calls:

14.0ms
x
10.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 274 to 175 computations (36.1% saved)

regimes28.0ms (0.6%)

Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 x (*.f64 (/.f64 1 x) 1/3))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
Outputs
(*.f64 x (*.f64 x (*.f64 x -2)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 78 to 47 computations (39.7% saved)

bsearch28.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
9.947402343579693e-9
381989224572.6411
10.0ms
-2.105859546153117
-0.384502771213187
Results
24.0ms272×body256valid
Compiler

Compiled 320 to 231 computations (27.8% saved)

regimes22.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 x (*.f64 (/.f64 1 x) 1/3))
Outputs
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.5b3x
Compiler

Compiled 57 to 35 computations (38.6% saved)

bsearch29.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
9.947402343579693e-9
381989224572.6411
9.0ms
-2.105859546153117
-0.384502771213187
Results
26.0ms272×body256valid
Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes21.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(*.f64 x (*.f64 x (*.f64 x -2)))
Outputs
(*.f64 x (*.f64 x (*.f64 x -2)))
(*.f64 x (*.f64 3 x))
(*.f64 x (*.f64 x (*.f64 x -2)))
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.5b3x
Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch29.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
9.947402343579693e-9
381989224572.6411
11.0ms
-2.105859546153117
-0.384502771213187
Results
25.0ms272×body256valid
Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes7.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
Outputs
(*.f64 x (*.f64 3 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
16.0b1x
Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes6.0ms (0.1%)

Accuracy

Total -45.1b remaining (-281%)

Threshold costs -45.1b (-281%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x 9/2)
(*.f64 3 (*.f64 x x))
Outputs
(*.f64 3 (*.f64 x x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
16.1b1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
040151
157151
267151
375151
491151
599151
6102151
7103151
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(if (<=.f64 x -1261007895663739/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (*.f64 x (/.f64 x (/.f64 -1/2 x)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 3 x)) (*.f64 x (/.f64 x (/.f64 -1/2 x)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 3 x)) (*.f64 x (*.f64 x (*.f64 x -2)))))
(*.f64 x (*.f64 3 x))
(*.f64 3 (*.f64 x x))
(*.f64 x 9/2)
Outputs
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
(if (<=.f64 x -1261007895663739/1125899906842624) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (*.f64 x (/.f64 x (/.f64 -1/2 x)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 3 x)) (*.f64 x (/.f64 x (/.f64 -1/2 x)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 x 3)) (*.f64 x (/.f64 x (/.f64 -1/2 x)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 3 x)) (*.f64 x (*.f64 x (*.f64 x -2)))))
(if (<=.f64 x -3/2) (*.f64 x (*.f64 x (*.f64 x -2))) (if (<=.f64 x 3/2) (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x (*.f64 x -2)))))
(*.f64 x (*.f64 3 x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 x 9/2)
Compiler

Compiled 112 to 74 computations (33.9% saved)

soundness258.0ms (5.5%)

Algorithm
egg-herbie
Rules
1486×fma-def_binary64
783×fma-neg_binary64
357×associate-*l*_binary64
315×distribute-rgt-neg-in_binary64
295×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11713
24511
311611
424111
532011
647511
780711
8170011
9256911
10348411
11466811
12559311
13603211
14626311
15656411
16767811
Stop Event
node limit
Compiler

Compiled 20 to 14 computations (30% saved)

end75.0ms (1.6%)

Compiler

Compiled 106 to 68 computations (35.8% saved)

Profiling

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