Details

Time bar (total: 2.8s)

analyze9.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample938.0ms (33.3%)

Results
924.0ms8256×body128valid
Compiler

Compiled 42 to 34 computations (19% saved)

preprocess39.0ms (1.4%)

Algorithm
egg-herbie
Rules
677×fma-def_binary64
646×fma-neg_binary64
298×distribute-rgt-in_binary64
239×div-sub_binary64
214×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01728
13422
26722
310722
415322
519520
629220
752920
8115220
9227720
10473520
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 20 to 16 computations (20% saved)

simplify31.0ms (1.1%)

Algorithm
egg-herbie
Rules
677×fma-def_binary64
646×fma-neg_binary64
298×distribute-rgt-in_binary64
239×div-sub_binary64
214×distribute-lft-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01728
13422
26722
310722
415322
519520
629220
752920
8115220
9227720
10473520
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 107 to 83 computations (22.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.2b
(fma.f64 x 4481/100000 99229/100000)
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
15.4b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series6.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.0ms
x
@inf
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)

rewrite61.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
488×log-prod_binary64
223×expm1-udef_binary64
223×log1p-udef_binary64
169×log-pow_binary64
157×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
126746
2294946
Stop Event
node limit
Counts
4 → 117
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify47.0ms (1.7%)

Algorithm
egg-herbie
Rules
485×fma-def_binary64
417×times-frac_binary64
342×sub-neg_binary64
309×cancel-sign-sub-inv_binary64
245×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060500
1167448
2421436
31168420
43782420
Stop Event
node limit
Counts
165 → 154
Calls
Call 1
Inputs
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 1427746267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 1427746267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 1427746267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
99229/100000
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 2134856267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
Outputs
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 1427746267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (*.f64 -1427746267379707/1000000000000000 x))
(fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 1427746267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) (*.f64 1427746267379707/1000000000000000 x)))
(+.f64 16316775383/10000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 x -1427746267379707/1000000000000000)))
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 1427746267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) (fma.f64 1427746267379707/1000000000000000 x (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(-.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (fma.f64 1427746267379707/1000000000000000 x (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))
(fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
99229/100000
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000))
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) (*.f64 x 2134856267379707/1000000000000000)))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (*.f64 x -2134856267379707/1000000000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 2134856267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) (fma.f64 2134856267379707/1000000000000000 x (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(-.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (fma.f64 x 2134856267379707/1000000000000000 (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))
(fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (*.f64 x 70711/100000)))
(-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) (*.f64 x 70711/100000))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x 70711/100000 (/.f64 (/.f64 3648757816023/62748003125 x) x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (*.f64 x 70711/100000)))
(-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) (*.f64 x 70711/100000))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x 70711/100000 (/.f64 (/.f64 3648757816023/62748003125 x) x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))

prune160.0ms (5.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1504154
Fresh011
Picked011
Done000
Total1506156
Error
0.0b
Counts
156 → 6
Alt Table
StatusErrorProgram
16.9b
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
1.3b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.4b
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.1b
(fma.f64 x -70711/100000 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))
Compiler

Compiled 3315 to 2577 computations (22.3% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.6b
(pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
15.4b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
16.1b
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))

series11.0ms (0.4%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))
2.0ms
x
@0
(cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))
1.0ms
x
@inf
(cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

rewrite71.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
530×log-prod_binary64
234×expm1-udef_binary64
234×log1p-udef_binary64
186×log-pow_binary64
140×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
130558
2327058
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))
(pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
(cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (log.f64 (sqrt.f64 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(fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1/6) (*.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1/6) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 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x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 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1))))))

simplify38.0ms (1.3%)

Algorithm
egg-herbie
Rules
423×fma-def_binary64
324×associate-*r*_binary64
274×associate-*l*_binary64
228×cancel-sign-sub-inv_binary64
200×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0121593
1343587
21149568
Stop Event
node limit
Counts
127 → 136
Calls
Call 1
Inputs
(cbrt.f64 266237158899274796689/100000000000000000000)
(-.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x)))
(-.f64 (+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)))) (+.f64 (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)) 1/3) (pow.f64 x 2))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x))))
(-.f64 (+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (+.f64 (*.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) (*.f64 149635734954105814365783546387766672698091454528855048207/22500000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 11)) 1/3) (pow.f64 x 3))))) (+.f64 (*.f64 12643173727587043386026494034121962320175223143660034776778129819968020195541/2025000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 4))) (+.f64 (*.f64 199470918701527732979559554258490421/75000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) (+.f64 (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)) 1/3) (pow.f64 x 2))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x))))))
266237158899274796689/100000000000000000000
(-.f64 266237158899274796689/100000000000000000000 (*.f64 23296215148751339091352781/5000000000000000000000000 x))
(-.f64 (+.f64 266237158899274796689/100000000000000000000 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2))) (*.f64 23296215148751339091352781/5000000000000000000000000 x))
(-.f64 (+.f64 266237158899274796689/100000000000000000000 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 23296215148751339091352781/5000000000000000000000000 x) (*.f64 199470918701527732979559554258490421/25000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2))
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))))
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2))
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))))
(cbrt.f64 16316775383/10000000000)
(-.f64 (cbrt.f64 16316775383/10000000000) (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(-.f64 (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000)) (+.f64 (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 63945084731005413160708262280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000))) (+.f64 (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 2910402805289885251234161040855675317291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (+.f64 (*.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))))
Outputs
(cbrt.f64 266237158899274796689/100000000000000000000)
(-.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 -23296215148751339091352781/15000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x)))
(+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x) -23296215148751339091352781/15000000000000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) -23296215148751339091352781/15000000000000000000000000) x (cbrt.f64 266237158899274796689/100000000000000000000))
(-.f64 (+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (*.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)))) (+.f64 (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)) 1/3) (pow.f64 x 2))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x))))
(+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (-.f64 (*.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) (fma.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x)))))
(-.f64 (fma.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (cbrt.f64 266237158899274796689/100000000000000000000)) (fma.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7))) (*.f64 (*.f64 x x) 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000))))
(-.f64 (fma.f64 6423177928202048973350723817547/3000000000000000000000000000000 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) x) (cbrt.f64 266237158899274796689/100000000000000000000)) (*.f64 x (+.f64 (*.f64 23296215148751339091352781/15000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)))) (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7))))))))
(-.f64 (+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (+.f64 (*.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) (*.f64 149635734954105814365783546387766672698091454528855048207/22500000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 11)) 1/3) (pow.f64 x 3))))) (+.f64 (*.f64 12643173727587043386026494034121962320175223143660034776778129819968020195541/2025000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 4))) (+.f64 (*.f64 199470918701527732979559554258490421/75000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) (+.f64 (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)) 1/3) (pow.f64 x 2))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 1/3) x))))))
(-.f64 (+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (fma.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (*.f64 149635734954105814365783546387766672698091454528855048207/22500000000000000000000000000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 11))) (pow.f64 x 3))))) (fma.f64 12643173727587043386026494034121962320175223143660034776778129819968020195541/2025000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 4)) (fma.f64 199470918701527732979559554258490421/75000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (fma.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7)))) (*.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x))))))
(+.f64 (cbrt.f64 266237158899274796689/100000000000000000000) (-.f64 (fma.f64 6423177928202048973350723817547/3000000000000000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 11))) (*.f64 (pow.f64 x 3) 149635734954105814365783546387766672698091454528855048207/22500000000000000000000000000000000000000000000000000000))) (fma.f64 12643173727587043386026494034121962320175223143660034776778129819968020195541/2025000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 4)) (fma.f64 199470918701527732979559554258490421/75000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (fma.f64 23296215148751339091352781/15000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2))) x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7))) (*.f64 (*.f64 x x) 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000)))))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 11))) (*.f64 149635734954105814365783546387766672698091454528855048207/22500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 6423177928202048973350723817547/3000000000000000000000000000000 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) x) (cbrt.f64 266237158899274796689/100000000000000000000))) (+.f64 (*.f64 x (+.f64 (*.f64 23296215148751339091352781/15000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)))) (*.f64 542713640256911376147078935518447998592848596433961/225000000000000000000000000000000000000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 7))))))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) (+.f64 (/.f64 12643173727587043386026494034121962320175223143660034776778129819968020195541/2025000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 266237158899274796689/100000000000000000000) 2)) 199470918701527732979559554258490421/75000000000000000000000000000000000))))
266237158899274796689/100000000000000000000
(-.f64 266237158899274796689/100000000000000000000 (*.f64 23296215148751339091352781/5000000000000000000000000 x))
(+.f64 266237158899274796689/100000000000000000000 (*.f64 -23296215148751339091352781/5000000000000000000000000 x))
(+.f64 266237158899274796689/100000000000000000000 (*.f64 x -23296215148751339091352781/5000000000000000000000000))
(fma.f64 x -23296215148751339091352781/5000000000000000000000000 266237158899274796689/100000000000000000000)
(-.f64 (+.f64 266237158899274796689/100000000000000000000 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2))) (*.f64 23296215148751339091352781/5000000000000000000000000 x))
(+.f64 266237158899274796689/100000000000000000000 (-.f64 (*.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000) (*.f64 x 23296215148751339091352781/5000000000000000000000000)))
(+.f64 266237158899274796689/100000000000000000000 (fma.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000 (*.f64 x -23296215148751339091352781/5000000000000000000000000)))
(fma.f64 x -23296215148751339091352781/5000000000000000000000000 (fma.f64 x (*.f64 x 6423177928202048973350723817547/1000000000000000000000000000000) 266237158899274796689/100000000000000000000))
(-.f64 (+.f64 266237158899274796689/100000000000000000000 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 23296215148751339091352781/5000000000000000000000000 x) (*.f64 199470918701527732979559554258490421/25000000000000000000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 266237158899274796689/100000000000000000000 (*.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000)) (fma.f64 23296215148751339091352781/5000000000000000000000000 x (*.f64 (pow.f64 x 3) 199470918701527732979559554258490421/25000000000000000000000000000000000)))
(-.f64 (fma.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000 266237158899274796689/100000000000000000000) (fma.f64 (pow.f64 x 3) 199470918701527732979559554258490421/25000000000000000000000000000000000 (*.f64 x 23296215148751339091352781/5000000000000000000000000)))
(+.f64 266237158899274796689/100000000000000000000 (fma.f64 x (*.f64 x 6423177928202048973350723817547/1000000000000000000000000000000) (fma.f64 x -23296215148751339091352781/5000000000000000000000000 (*.f64 (pow.f64 x 3) -199470918701527732979559554258490421/25000000000000000000000000000000000))))
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2))
(/.f64 3661521939924557641/200793610000000000 (*.f64 x x))
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4))) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))))
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2))
(/.f64 3661521939924557641/200793610000000000 (*.f64 x x))
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4))) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))))
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))))
(cbrt.f64 16316775383/10000000000)
(-.f64 (cbrt.f64 16316775383/10000000000) (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 -1427746267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(-.f64 (cbrt.f64 16316775383/10000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 x 1427746267379707/3000000000000000)))
(fma.f64 (*.f64 x -1427746267379707/3000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000))
(-.f64 (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000)) (+.f64 (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000)) (fma.f64 1427746267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) (cbrt.f64 16316775383/10000000000)) (fma.f64 1427746267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))) (*.f64 (*.f64 x x) 2038459404016685792751715405849/9000000000000000000000000000000))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) (cbrt.f64 16316775383/10000000000)) (*.f64 x (+.f64 (*.f64 1427746267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))))))))
(-.f64 (+.f64 (*.f64 63945084731005413160708262280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000))) (+.f64 (*.f64 1427746267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 2910402805289885251234161040855675317291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (+.f64 (*.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))))
(-.f64 (fma.f64 63945084731005413160708262280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000))) (fma.f64 1427746267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 2910402805289885251234161040855675317291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) (fma.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))))))))
(-.f64 (fma.f64 63945084731005413160708262280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (fma.f64 44787429105566215301/100000000000000000000 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) (cbrt.f64 16316775383/10000000000))) (fma.f64 1427746267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 2910402805289885251234161040855675317291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) (fma.f64 2038459404016685792751715405849/9000000000000000000000000000000 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))))) (/.f64 (*.f64 (pow.f64 x 3) 12692862305735843227608787/30000000000000000000000000) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 63945084731005413160708262280296807/150000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (fma.f64 44787429105566215301/100000000000000000000 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) (fma.f64 (*.f64 x -1427746267379707/3000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000)))) (fma.f64 (*.f64 x x) (*.f64 2038459404016685792751715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (+.f64 (/.f64 2910402805289885251234161040855675317291706243/16200000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/30000000000000000000000000))))

prune345.0ms (12.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2360236
Fresh044
Picked011
Done011
Total2366242
Error
0.0b
Counts
242 → 6
Alt Table
StatusErrorProgram
16.9b
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
1.3b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.4b
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.1b
(fma.f64 x -70711/100000 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))
Compiler

Compiled 9677 to 7752 computations (19.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.3b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
15.4b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

series7.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
0.0ms
x
@-inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

rewrite43.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
197×add-sqr-sqrt_binary64
186×add-cbrt-cube_binary64
186×add-exp-log_binary64
186×add-log-exp_binary64
186×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01758
139046
Stop Event
node limit
Counts
4 → 78
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 19816708627981/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 19816708627981/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 27061/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 20079361/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x))) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 1))))))

simplify66.0ms (2.3%)

Algorithm
egg-herbie
Rules
549×fma-def_binary64
541×times-frac_binary64
362×cancel-sign-sub-inv_binary64
272×fma-neg_binary64
261×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070452
1191436
2492424
31419408
44651408
Stop Event
node limit
Counts
126 → 111
Calls
Call 1
Inputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 x))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 2134856267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
Outputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (*.f64 1900161040244073/1000000000000000 (*.f64 x x)) (*.f64 20191289437/10000000000 x)))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000) (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(+.f64 230753/100000 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 x -20191289437/10000000000 (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000))))
(fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000))
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 x))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 x 2134856267379707/1000000000000000)))
(+.f64 16316775383/10000000000 (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 (*.f64 x -2134856267379707/1000000000000000)))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 2134856267379707/1000000000000000 x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (fma.f64 2134856267379707/1000000000000000 x (*.f64 (pow.f64 x 3) 12692862305735843227608787/10000000000000000000000000))))
(-.f64 (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 16316775383/10000000000) (fma.f64 x 2134856267379707/1000000000000000 (*.f64 (pow.f64 x 3) 12692862305735843227608787/10000000000000000000000000)))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (-.f64 16316775383/10000000000 (fma.f64 x 2134856267379707/1000000000000000 (*.f64 (pow.f64 x 3) 12692862305735843227608787/10000000000000000000000000))))
(fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(-.f64 (/.f64 1913510371/448100000 x) (*.f64 x 70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (/.f64 1913510371/448100000 x) (+.f64 (*.f64 x 70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (*.f64 x 70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(-.f64 (/.f64 1913510371/448100000 x) (*.f64 x 70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(-.f64 (/.f64 1913510371/448100000 x) (+.f64 (*.f64 x 70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))) (*.f64 70711/100000 x)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (*.f64 x 70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x 70711/100000 (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))

prune113.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done022
Total1116117
Error
0.0b
Counts
117 → 6
Alt Table
StatusErrorProgram
16.9b
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
1.3b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.4b
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.1b
(fma.f64 x -70711/100000 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))
Compiler

Compiled 2482 to 1958 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.3b
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.1b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
15.4b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series8.0ms (0.3%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.0ms
x
@0
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.0ms
x
@inf
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

rewrite64.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
253×expm1-udef_binary64
253×log1p-udef_binary64
195×log-pow_binary64
157×prod-diff_binary64
148×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
133542
2345442
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -70711/100000) 1) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(fma.f64 x 4481/100000 99229/100000) 1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1))))))

simplify33.0ms (1.2%)

Algorithm
egg-herbie
Rules
806×times-frac_binary64
330×sub-neg_binary64
321×fma-def_binary64
236×associate-*r*_binary64
209×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071293
1208287
2715272
33450272
Stop Event
node limit
Counts
84 → 90
Calls
Call 1
Inputs
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)))
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)))
(-.f64 (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 9729845010448944041464861582745334487291706243/20250000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))) (+.f64 (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)) (+.f64 (*.f64 137600161367381935504587144613219081717013/467274825000000000000000000000000000000000 (*.f64 (cbrt.f64 16316775383/10000000000) (pow.f64 x 3))) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(cbrt.f64 16316775383/10000000000)
(-.f64 (cbrt.f64 16316775383/10000000000) (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(-.f64 (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000)) (+.f64 (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 95614723725842339662198372280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000))) (+.f64 (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 9729845010448944041464861582745334487291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (+.f64 (*.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))))
Outputs
16316775383/10000000000
(-.f64 16316775383/10000000000 (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)))
(+.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) x)))
(+.f64 16316775383/10000000000 (*.f64 (*.f64 -2134856267379707/1000000000000000 x) (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) -2134856267379707/1000000000000000) x 16316775383/10000000000)
(-.f64 (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)))
(+.f64 16316775383/10000000000 (-.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) (*.f64 2134856267379707/1000000000000000 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) x))))
(+.f64 16316775383/10000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 (*.f64 -2134856267379707/1000000000000000 x) (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) -2134856267379707/1000000000000000) x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 (*.f64 (cbrt.f64 (*.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) -2134856267379707/1000000000000000) x 16316775383/10000000000))
(-.f64 (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 9729845010448944041464861582745334487291706243/20250000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))) (+.f64 (*.f64 2134856267379707/1000000000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1/3) x)) (+.f64 (*.f64 137600161367381935504587144613219081717013/467274825000000000000000000000000000000000 (*.f64 (cbrt.f64 16316775383/10000000000) (pow.f64 x 3))) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(-.f64 (+.f64 16316775383/10000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 9729845010448944041464861582745334487291706243/20250000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))) (fma.f64 2134856267379707/1000000000000000 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) x) (fma.f64 137600161367381935504587144613219081717013/467274825000000000000000000000000000000000 (*.f64 (cbrt.f64 16316775383/10000000000) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 12692862305735843227608787/10000000000000000000000000))))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (-.f64 (*.f64 9729845010448944041464861582745334487291706243/20250000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (fma.f64 2134856267379707/1000000000000000 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) x) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 137600161367381935504587144613219081717013/467274825000000000000000000000000000000000) 12692862305735843227608787/10000000000000000000000000)))))
(-.f64 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 9729845010448944041464861582745334487291706243/20250000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 16316775383/10000000000)) (fma.f64 (cbrt.f64 (*.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) (*.f64 2134856267379707/1000000000000000 x) (*.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 16316775383/10000000000) 137600161367381935504587144613219081717013/467274825000000000000000000000000000000000 12692862305735843227608787/10000000000000000000000000))))
(cbrt.f64 16316775383/10000000000)
(-.f64 (cbrt.f64 16316775383/10000000000) (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) -2134856267379707/3000000000000000))
(fma.f64 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) -2134856267379707/3000000000000000 (cbrt.f64 16316775383/10000000000))
(-.f64 (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000)) (+.f64 (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000)) (fma.f64 2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000)) (fma.f64 2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))))))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) x) (cbrt.f64 16316775383/10000000000)) (*.f64 x (+.f64 (*.f64 x (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))))) (*.f64 2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(-.f64 (+.f64 (*.f64 95614723725842339662198372280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 44787429105566215301/100000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (cbrt.f64 16316775383/10000000000))) (+.f64 (*.f64 2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 9729845010448944041464861582745334487291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (+.f64 (*.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)) 1/3) (pow.f64 x 2)))))))
(-.f64 (fma.f64 95614723725842339662198372280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000))) (fma.f64 2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 9729845010448944041464861582745334487291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) (fma.f64 12692862305735843227608787/30000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))))))))
(-.f64 (fma.f64 95614723725842339662198372280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (fma.f64 44787429105566215301/100000000000000000000 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (cbrt.f64 16316775383/10000000000))) (fma.f64 2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 9729845010448944041464861582745334487291706243/16200000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/30000000000000000000000000 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7))))))))))
(-.f64 (fma.f64 44787429105566215301/100000000000000000000 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) x) (fma.f64 95614723725842339662198372280296807/150000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 11)))) (cbrt.f64 16316775383/10000000000))) (fma.f64 x (*.f64 2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 (*.f64 x x) (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 7)))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (+.f64 (/.f64 9729845010448944041464861582745334487291706243/16200000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/30000000000000000000000000)))))

prune164.0ms (5.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1673170
Fresh022
Picked101
Done213
Total1706176
Error
0.0b
Counts
176 → 6
Alt Table
StatusErrorProgram
1.4b
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))
33.4b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
16.9b
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
0.6b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 x -70711/100000))
Compiler

Compiled 4402 to 3540 computations (19.6% saved)

regimes381.0ms (13.5%)

Accuracy

Total 0.0b remaining (54.4%)

Threshold costs 0.0b (54.4%)

Counts
160 → 1
Compiler

Compiled 3418 to 2690 computations (21.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11723
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x -70711/100000) 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
(fma.f64 (*.f64 x -70711/100000) 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

end130.0ms (4.6%)

Stop Event
fuel
Compiler

Compiled 183 to 141 computations (23% saved)

Profiling

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