Details

Time bar (total: 3.9s)

analyze12.0ms (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)

sample1.1s (28.8%)

Results
1.1s8256×body128valid

preprocess42.0ms (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: 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 (0.8%)

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)))

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
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 67 to 51 computations (23.9% saved)

localize11.0ms (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 1913510371/10000000000 16316775383/10000000000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
13.6b
(/.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 4481/100000 99229/100000)
0.0ms
x
@-inf
(fma.f64 x 4481/100000 99229/100000)

rewrite64.0ms (1.6%)

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 4481/100000 99229/100000)
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(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 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.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 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.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 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) (/.f64 (cbrt.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 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.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 1 (pow.f64 (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (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 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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 pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 log.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 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simplify38.0ms (1%)

Algorithm
egg-herbie
Rules
511×fma-def_binary64
417×times-frac_binary64
284×associate-/l/_binary64
267×fma-neg_binary64
255×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059470
1147436
2343432
3895420
42477420
Stop Event
node limit
Counts
165 → 155
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.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 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))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.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 (/.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 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.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 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.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 (/.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 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 -335267464412236892/281173802003125 (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 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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.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 (/.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 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.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 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.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 (/.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 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 -335267464412236892/281173802003125 (pow.f64 x 3)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
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)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(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 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 x -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 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(*.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 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))

prune228.0ms (5.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1514155
Fresh000
Picked101
Done000
Total1524156
Error
0.0b
Counts
156 → 4
Alt Table
StatusErrorProgram
0.1b
(fma.f64 x -70711/100000 (+.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)))))))
19.8b
(/.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
16.6b
(*.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)))) (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)))))
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))
Compiler

Compiled 3391 to 2632 computations (22.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 4481/100000 99229/100000)
0.5b
(exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
4.0b
(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)))))
13.6b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series7.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(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)))))
2.0ms
x
@-inf
(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)))))
1.0ms
x
@inf
(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)))))
0.0ms
x
@0
(exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.0ms
x
@inf
(exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

rewrite53.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
531×log-prod_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
188×log-pow_binary64
132×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
127837
2307937
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(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)))))
(exp.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 (*.f64 1/2 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.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 1/3 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 1/3 (*.f64 1/2 (/.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 1/4 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 1/4 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (*.f64 (cbrt.f64 (exp.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 (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 (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 (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 (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 (exp.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 1 (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 (/.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 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (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 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(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 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/4) (*.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/4) (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 (*.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/4)) (pow.f64 (exp.f64 (/.f64 (fma.f64 x 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egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (E.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 pow.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.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 sqrt.f64 (pow.f64 (exp.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 log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))

simplify39.0ms (1%)

Algorithm
egg-herbie
Rules
320×*-commutative_binary64
293×fma-def_binary64
245×associate-+l+_binary64
225×associate-/r*_binary64
208×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081450
1233438
2652358
32142355
Stop Event
node limit
Counts
80 → 84
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x))
(+.f64 (*.f64 590931588957159709533050253606912/879609302220800000000000000000000 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x)))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (*.f64 -1427746267379707/2000000000000000 (-.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (pow.f64 (*.f64 -1427746267379707/2000000000000000 (sqrt.f64 (exp.f64 16316775383/10000000000))) 2)))) (exp.f64 16316775383/10000000000))) (*.f64 4283238802139121/2000000000000000 (/.f64 (-.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (pow.f64 (*.f64 -1427746267379707/2000000000000000 (sqrt.f64 (exp.f64 16316775383/10000000000))) 2)) (exp.f64 16316775383/10000000000)))) 2910402805289885251234161040855675317291706243/4000000000000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 (*.f64 590931588957159709533050253606912/879609302220800000000000000000000 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x))))
(/.f64 1913510371/896200000 x)
(-.f64 (*.f64 1913510371/896200000 (/.f64 1 x)) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (+.f64 (*.f64 15816623424400974128134/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/896200000 x)
(-.f64 (*.f64 1913510371/896200000 (/.f64 1 x)) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (+.f64 (*.f64 15816623424400974128134/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2)))))
(exp.f64 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000))
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (pow.f64 x 2) (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000)))
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (pow.f64 x 2) (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000))))
1
(+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 516666722170419959532607194811/539853699846000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x)))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 516666722170419959532607194811/539853699846000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x)))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
Outputs
(log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x))
(fma.f64 -1427746267379707/2000000000000000 x (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))))
(+.f64 (*.f64 590931588957159709533050253606912/879609302220800000000000000000000 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x)))
(fma.f64 134362287316698645903/200000000000000000000 (*.f64 x x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x)))
(fma.f64 134362287316698645903/200000000000000000000 (*.f64 x x) (fma.f64 -1427746267379707/2000000000000000 x (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)))))
(fma.f64 -1427746267379707/2000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/200000000000000000000) (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (*.f64 -1427746267379707/2000000000000000 (-.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (pow.f64 (*.f64 -1427746267379707/2000000000000000 (sqrt.f64 (exp.f64 16316775383/10000000000))) 2)))) (exp.f64 16316775383/10000000000))) (*.f64 4283238802139121/2000000000000000 (/.f64 (-.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (exp.f64 16316775383/10000000000)) (pow.f64 (*.f64 -1427746267379707/2000000000000000 (sqrt.f64 (exp.f64 16316775383/10000000000))) 2)) (exp.f64 16316775383/10000000000)))) 2910402805289885251234161040855675317291706243/4000000000000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 (*.f64 590931588957159709533050253606912/879609302220800000000000000000000 (pow.f64 x 2)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x))))
(fma.f64 1/6 (*.f64 (+.f64 (fma.f64 3 (/.f64 (+.f64 (*.f64 (exp.f64 16316775383/10000000000) -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000) (*.f64 1427746267379707/2000000000000000 (-.f64 (*.f64 (exp.f64 16316775383/10000000000) 4725705150350658710811715405849/2000000000000000000000000000000) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)) -1427746267379707/2000000000000000) 2)))) (exp.f64 16316775383/10000000000)) (*.f64 4283238802139121/2000000000000000 (/.f64 (-.f64 (*.f64 (exp.f64 16316775383/10000000000) 4725705150350658710811715405849/2000000000000000000000000000000) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)) -1427746267379707/2000000000000000) 2)) (exp.f64 16316775383/10000000000)))) -2910402805289885251234161040855675317291706243/4000000000000000000000000000000000000000000000) (pow.f64 x 3)) (fma.f64 134362287316698645903/200000000000000000000 (*.f64 x x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))) (*.f64 -1427746267379707/2000000000000000 x))))
(fma.f64 1/6 (*.f64 (fma.f64 3 (/.f64 (fma.f64 (exp.f64 16316775383/10000000000) -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (*.f64 (-.f64 (*.f64 (exp.f64 16316775383/10000000000) 4725705150350658710811715405849/2000000000000000000000000000000) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)) -1427746267379707/2000000000000000) 2)) 1427746267379707/2000000000000000)) (exp.f64 16316775383/10000000000)) (fma.f64 4283238802139121/2000000000000000 (/.f64 (-.f64 (*.f64 (exp.f64 16316775383/10000000000) 4725705150350658710811715405849/2000000000000000000000000000000) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 16316775383/10000000000)) -1427746267379707/2000000000000000) 2)) (exp.f64 16316775383/10000000000)) -2910402805289885251234161040855675317291706243/4000000000000000000000000000000000000000000000)) (pow.f64 x 3)) (fma.f64 134362287316698645903/200000000000000000000 (*.f64 x x) (fma.f64 -1427746267379707/2000000000000000 x (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))))))
(fma.f64 x (*.f64 x 134362287316698645903/200000000000000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/20000000000000000000000000 (fma.f64 -1427746267379707/2000000000000000 x (log.f64 (sqrt.f64 (exp.f64 16316775383/10000000000))))))
(/.f64 1913510371/896200000 x)
(-.f64 (*.f64 1913510371/896200000 (/.f64 1 x)) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/896200000 x) (/.f64 3648757816023/125496006250 (*.f64 x x)))
(+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/896200000 x) (/.f64 3648757816023/125496006250 (*.f64 x x))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x))))
(+.f64 (/.f64 1913510371/896200000 x) (+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/125496006250 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (+.f64 (*.f64 15816623424400974128134/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/896200000 x) (/.f64 167633732206118446/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/125496006250 (*.f64 x x)) (/.f64 15816623424400974128134/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x))) (/.f64 15816623424400974128134/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/896200000 x) (+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/125496006250 (*.f64 x x)) (/.f64 -15816623424400974128134/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/896200000 x)
(-.f64 (*.f64 1913510371/896200000 (/.f64 1 x)) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/896200000 x) (/.f64 3648757816023/125496006250 (*.f64 x x)))
(+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/896200000 x) (/.f64 3648757816023/125496006250 (*.f64 x x))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x))))
(+.f64 (/.f64 1913510371/896200000 x) (+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/125496006250 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 167633732206118446/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/896200000 (/.f64 1 x))) (+.f64 (*.f64 15816623424400974128134/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/125496006250 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/896200000 x) (/.f64 167633732206118446/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/125496006250 (*.f64 x x)) (/.f64 15816623424400974128134/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/896200000 x) (/.f64 -3648757816023/125496006250 (*.f64 x x))) (/.f64 15816623424400974128134/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/896200000 x) (+.f64 (/.f64 167633732206118446/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/125496006250 (*.f64 x x)) (/.f64 -15816623424400974128134/1259939806776003125 (pow.f64 x 4)))))
(exp.f64 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 (*.f64 (exp.f64 16316775383/10000000000) x) (exp.f64 16316775383/10000000000))
(fma.f64 (*.f64 x -1427746267379707/1000000000000000) (exp.f64 16316775383/10000000000) (exp.f64 16316775383/10000000000))
(*.f64 (exp.f64 16316775383/10000000000) (fma.f64 x -1427746267379707/1000000000000000 1))
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (pow.f64 x 2) (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000)))
(fma.f64 -1427746267379707/1000000000000000 (*.f64 (exp.f64 16316775383/10000000000) x) (fma.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (exp.f64 16316775383/10000000000) (*.f64 x x)) (exp.f64 16316775383/10000000000)))
(+.f64 (exp.f64 16316775383/10000000000) (*.f64 (exp.f64 16316775383/10000000000) (+.f64 (*.f64 x -1427746267379707/1000000000000000) (*.f64 (*.f64 x x) 4725705150350658710811715405849/2000000000000000000000000000000))))
(fma.f64 (exp.f64 16316775383/10000000000) (*.f64 x (+.f64 -1427746267379707/1000000000000000 (*.f64 x 4725705150350658710811715405849/2000000000000000000000000000000))) (exp.f64 16316775383/10000000000))
(*.f64 (exp.f64 16316775383/10000000000) (+.f64 1 (*.f64 x (+.f64 -1427746267379707/1000000000000000 (*.f64 x 4725705150350658710811715405849/2000000000000000000000000000000)))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 (*.f64 x (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 3) (exp.f64 16316775383/10000000000))) (+.f64 (*.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (pow.f64 x 2) (exp.f64 16316775383/10000000000))) (exp.f64 16316775383/10000000000))))
(fma.f64 -1427746267379707/1000000000000000 (*.f64 (exp.f64 16316775383/10000000000) x) (fma.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (*.f64 (exp.f64 16316775383/10000000000) (pow.f64 x 3)) (fma.f64 4725705150350658710811715405849/2000000000000000000000000000000 (*.f64 (exp.f64 16316775383/10000000000) (*.f64 x x)) (exp.f64 16316775383/10000000000))))
(+.f64 (fma.f64 (*.f64 (*.f64 x x) 4725705150350658710811715405849/2000000000000000000000000000000) (exp.f64 16316775383/10000000000) (exp.f64 16316775383/10000000000)) (*.f64 (exp.f64 16316775383/10000000000) (+.f64 (*.f64 x -1427746267379707/1000000000000000) (*.f64 -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 (exp.f64 16316775383/10000000000) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000) 4725705150350658710811715405849/2000000000000000000000000000000)) (*.f64 (exp.f64 16316775383/10000000000) (fma.f64 x -1427746267379707/1000000000000000 1)))
(*.f64 (exp.f64 16316775383/10000000000) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x -22036235440312365556726920451309100577291706243/6000000000000000000000000000000000000000000000) 4725705150350658710811715405849/2000000000000000000000000000000))) (fma.f64 x -1427746267379707/1000000000000000 1)))
1
(+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x)))
(+.f64 1 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 1 (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 516666722170419959532607194811/539853699846000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x)))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3))) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x)))))
1
(+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x)))
(+.f64 1 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 1 (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 1 (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 516666722170419959532607194811/539853699846000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x)))) (*.f64 19690528082622642359/401587220000000000 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3))) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (/.f64 -19690528082622642359/401587220000000000 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 516666722170419959532607194811/539853699846000000000000000 (pow.f64 x 3)) (/.f64 19690528082622642359/401587220000000000 (*.f64 x x)))))

prune984.0ms (25.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3311332
Fresh033
Picked011
Done000
Total3315336
Error
0.0b
Counts
336 → 5
Alt Table
StatusErrorProgram
15.5b
(fma.f64 x -70711/100000 (+.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 (*.f64 (exp.f64 16316775383/10000000000) (+.f64 1 (*.f64 x (+.f64 -1427746267379707/1000000000000000 (*.f64 x 4725705150350658710811715405849/2000000000000000000000000000000)))))))))
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
(fma.f64 x -70711/100000 (+.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)))))))
19.8b
(/.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
16.6b
(*.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)))) (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)))))
Compiler

Compiled 13490 to 10899 computations (19.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.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))
0.2b
(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))))
0.7b
(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)
13.6b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series11.0ms (0.3%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
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)))) 2)
2.0ms
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))))
2.0ms
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))))
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)))) 2)
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)))) 2)

rewrite64.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
259×expm1-udef_binary64
259×log1p-udef_binary64
157×prod-diff_binary64
154×add-sqr-sqrt_binary64
146×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01767
135067
2356967
Stop Event
node limit
Counts
3 → 84
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)))) 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))))
(*.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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (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)))) (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 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (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)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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) (*.f64 (cbrt.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))))) (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 (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)))) 4)) (pow.f64 (cbrt.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 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) (pow.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))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 (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 (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 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)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (+.f64 1 (expm1.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 cbrt.f64 (pow.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 exp.f64 (*.f64 2 (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 (*.f64 2 (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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.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)))))))
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simplify45.0ms (1.1%)

Algorithm
egg-herbie
Rules
334×fma-def_binary64
261×cancel-sign-sub-inv_binary64
245×associate-*r*_binary64
222×associate-*l*_binary64
140×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100589
1273563
2799519
33645519
Stop Event
node limit
Counts
104 → 113
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 16316775383/10000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x)))
(+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x))))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (cbrt.f64 16316775383/10000000000))) (*.f64 -2134856267379707/4500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x)))))
(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 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (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 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
(pow.f64 (cbrt.f64 16316775383/10000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x)))
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x)))
(fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))
(+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x))))
(fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (/.f64 (*.f64 2/3 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)))))) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x))))
(fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))
(fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (cbrt.f64 16316775383/10000000000))) (*.f64 -2134856267379707/4500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 1/3) x)))))
(fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/10000000000000000000000000) (*.f64 (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))))) (cbrt.f64 16316775383/10000000000)) (*.f64 -2134856267379707/4500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (/.f64 (*.f64 2/3 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)))))) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x)))))
(fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000)) (cbrt.f64 16316775383/10000000000)) (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(fma.f64 (fma.f64 2/3 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(fma.f64 (fma.f64 2/3 (+.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5))) 2134856267379707/1500000000000000) -12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(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))))))
(fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000))
(fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 1/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 x x))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 x x)) (*.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(+.f64 (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 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 1/3 (+.f64 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 x x))) (/.f64 (-.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/10000000000000000000000000) (*.f64 (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (pow.f64 x 3)))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (+.f64 (*.f64 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (pow.f64 x 3))) (*.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 1/3 (fma.f64 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (/.f64 (pow.f64 x 3) (cbrt.f64 16316775383/10000000000)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(fma.f64 1/3 (fma.f64 (+.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5))) 2134856267379707/1500000000000000) -12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (/.f64 (pow.f64 x 3) (cbrt.f64 16316775383/10000000000)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 16316775383/10000000000)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.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)) (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 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.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 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.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)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))

prune415.0ms (10.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2385243
Fresh213
Picked011
Done011
Total2408248
Error
0.0b
Counts
248 → 8
Alt Table
StatusErrorProgram
8.1b
(*.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)))) (*.f64 (pow.f64 (cbrt.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 (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)))) 4))))
2.5b
(*.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)))) (-.f64 (exp.f64 (log1p.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))) 1))
30.1b
(fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.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 (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)))))))
34.1b
(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)))
0.7b
(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)))
19.8b
(/.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
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))
Compiler

Compiled 9617 to 7670 computations (20.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 x) -70711/100000)
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
13.6b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.2%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (cbrt.f64 x) -70711/100000)
2.0ms
x
@-inf
(cbrt.f64 x)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@0
(cbrt.f64 x)

rewrite38.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
542×pow1_binary64
507×add-log-exp_binary64
507×log1p-expm1-u_binary64
507×expm1-log1p-u_binary64
496×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114215
2145715
Stop Event
node limit
Counts
3 → 47
Calls
Call 1
Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) -70711/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))))

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

prune229.0ms (5.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh145
Picked101
Done022
Total1178125
Error
0.0b
Counts
125 → 8
Alt Table
StatusErrorProgram
8.1b
(*.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)))) (*.f64 (pow.f64 (cbrt.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 (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)))) 4))))
30.1b
(fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.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 (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)))))))
34.1b
(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)))
7.1b
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.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)))
19.8b
(/.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
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))
20.1b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 3265 to 2283 computations (30.1% saved)

regimes179.0ms (4.6%)

Accuracy

Total -63.9b remaining (-68187.1%)

Threshold costs -63.9b (-68187.1%)

Counts
70 → 1
Compiler

Compiled 1740 to 1306 computations (24.9% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01750
11950
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x -70711/100000 (+.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)))))))
Outputs
(fma.f64 x -70711/100000 (+.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)))))))

end225.0ms (5.8%)

Stop Event
fuel
Compiler

Compiled 348 to 265 computations (23.9% saved)

Profiling

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