Details

Time bar (total: 5.2s)

analyze12.0ms (0.2%)

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
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.5s (29.3%)

Results
1.5s8256×body256valid

preprocess90.0ms (1.7%)

Algorithm
egg-herbie
Rules
1274×fma-neg_binary64
639×fma-def_binary64
397×div-sub_binary64
343×associate-/l*_binary64
332×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
13119
26019
38319
49819
511719
616319
725219
842219
967319
10154819
11368719
12598619
13764219
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify74.0ms (1.4%)

Algorithm
egg-herbie
Rules
1274×fma-neg_binary64
639×fma-def_binary64
397×div-sub_binary64
343×associate-/l*_binary64
332×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
13119
26019
38319
49819
511719
616319
725219
842219
967319
10154819
11368719
12598619
13764219
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)

eval1.0ms (0%)

Compiler

Compiled 32 to 24 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
0.3b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
14.7b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite105.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
848×prod-diff_binary64
487×fma-def_binary64
273×expm1-udef_binary64
273×log1p-udef_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
131832
2428832
Stop Event
node limit
Counts
4 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
Outputs
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1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 27061/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 99229/100000) 1) (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 99229/100000) 3) (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 3)) (fma.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000) (-.f64 (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000))) (*.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000)) (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000)))) (-.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 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(*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 4481/100000))) (exp.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4481/100000) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) -1)))) (#(struct:change 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(*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))) (cbrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))))

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Rules
775×distribute-neg-frac_binary64
771×fma-def_binary64
417×times-frac_binary64
376×distribute-rgt-neg-in_binary64
352×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047396
1113392
2262381
3686357
42069354
56004354
Stop Event
node limit
Counts
167 → 143
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 230753/100000)
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

eval116.0ms (2.2%)

Compiler

Compiled 2991 to 2284 computations (23.6% saved)

prune24.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1385143
Fresh000
Picked011
Done000
Total1386144
Error
0b
Counts
144 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
31.5b
(-.f64 (/.f64 27061/4481 x) x)
0.6b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
26.4b
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
0.7b
(-.f64 230753/100000 x)
Compiler

Compiled 106 to 78 computations (26.4% saved)

localize75.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 x 99229/100000))
0.0b
(*.f64 x 99229/100000)
0.0b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.4b
(*.f64 x 27061/100000)
Compiler

Compiled 46 to 36 computations (21.7% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite107.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
515×log-prod_binary64
380×prod-diff_binary64
319×fma-def_binary64
297×pow2_binary64
285×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
124121
2310721
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
(*.f64 x 99229/100000)
(+.f64 1 (*.f64 x 99229/100000))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 99229/100000 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) (/.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 99229/100000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (fma.f64 9846394441/10000000000 (*.f64 x x) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (neg.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (neg.f64 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9846394441/10000000000 (*.f64 x x) -1) (fma.f64 x 99229/100000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 99229/100000) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 99229/100000)) (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) (cbrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) 1)))))

simplify57.0ms (1.1%)

Algorithm
egg-herbie
Rules
626×fma-def_binary64
536×unswap-sqr_binary64
515×associate-*l*_binary64
450×associate-/r/_binary64
338×associate-/r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
038243
198241
2218238
3535231
41433228
54756224
Stop Event
node limit
Counts
145 → 127
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
1
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 2003561459544073/1000000000000000 (*.f64 x x))))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 -20191289437/10000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) -20191289437/10000000000) 230753/100000)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
1
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 27061/4481 x) x)
0.3b
(/.f64 27061/4481 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series9.0ms (0.2%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
(-.f64 (/.f64 27061/4481 x) x)
1.0ms
x
@0
(/.f64 27061/4481 x)
0.0ms
x
@inf
(/.f64 27061/4481 x)
0.0ms
x
@inf
(-.f64 (/.f64 27061/4481 x) x)
0.0ms
x
@-inf
(/.f64 27061/4481 x)

rewrite56.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
617×add-log-exp_binary64
617×log1p-expm1-u_binary64
617×expm1-log1p-u_binary64
605×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
111811
2164811
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(-.f64 (/.f64 27061/4481 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 27061/4481 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 27061/4481 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 27061/4481 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 27061/4481 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/4481 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)) (neg.f64 x))))))

simplify39.0ms (0.7%)

Algorithm
egg-herbie
Rules
78×fma-def_binary64
67×fma-neg_binary64
36×associate-/l*_binary64
28×associate-/r*_binary64
21×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01082
11873
22473
32973
44673
57573
613573
719773
825573
931073
1036673
1141273
1248273
1350273
1452073
Stop Event
saturated
Counts
68 → 61
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
Outputs
(/.f64 27061/4481 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
0.1b
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
0.6b
(*.f64 -20191289437/10000000000 x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series6.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -20191289437/10000000000 x)
1.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
1.0ms
x
@inf
(*.f64 -20191289437/10000000000 x)
1.0ms
x
@inf
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
0.0ms
x
@-inf
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)

rewrite108.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
951×pow1_binary64
900×add-log-exp_binary64
900×log1p-expm1-u_binary64
900×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116516
2232816
Stop Event
node limit
Counts
3 → 88
Calls
Call 1
Inputs
(*.f64 -20191289437/10000000000 x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -20191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -20191289437/10000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -20191289437/10000000000 x) (+.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (*.f64 x -30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) (pow.f64 (cbrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) 2) (cbrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) (sqrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 x -30191289437/10000000000) 3)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x -30191289437/10000000000) (*.f64 x -30191289437/10000000000)) (*.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x -30191289437/10000000000) (*.f64 x -30191289437/10000000000))) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))))

simplify38.0ms (0.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
fma-def_binary64
+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0881
11163
21363
Stop Event
saturated
Counts
103 → 94
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(fma.f64 -30191289437/10000000000 x 230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -1651231776/20079361 x) x)
0.3b
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.3b
(/.f64 27061/4481 x)
0.4b
(/.f64 -1651231776/20079361 x)
Compiler

Compiled 35 to 23 computations (34.3% saved)

series7.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
1.0ms
x
@0
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(/.f64 (/.f64 -1651231776/20079361 x) x)
1.0ms
x
@-inf
(/.f64 -1651231776/20079361 x)

rewrite227.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
454×log-prod_binary64
348×exp-prod_binary64
339×fma-def_binary64
297×pow-prod-down_binary64
255×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0824
119324
2293322
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
Outputs
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simplify100.0ms (1.9%)

Algorithm
egg-herbie
Rules
751×times-frac_binary64
657×fma-neg_binary64
533×div-sub_binary64
522×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015216
132216
257216
3113216
4293216
51035216
64823216
77508216
Stop Event
node limit
Counts
212 → 193
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))

eval330.0ms (6.3%)

Compiler

Compiled 7656 to 5539 computations (27.7% saved)

prune121.0ms (2.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5055510
Fresh000
Picked011
Done145
Total50610516
Error
0b
Counts
516 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
31.0b
230753/100000
27.4b
(-.f64 27061/99229 x)
0.7b
(-.f64 230753/100000 x)
31.6b
(neg.f64 x)
32.5b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
31.5b
(-.f64 (/.f64 27061/4481 x) x)
26.4b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
0.6b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
32.5b
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
Compiler

Compiled 83 to 62 computations (25.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
0.3b
(*.f64 x -30191289437/10000000000)
Compiler

Compiled 12 to 9 computations (25% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x -30191289437/10000000000)
1.0ms
x
@0
(*.f64 x -30191289437/10000000000)
1.0ms
x
@-inf
(*.f64 x -30191289437/10000000000)
1.0ms
x
@inf
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
0.0ms
x
@-inf
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)

rewrite92.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
642×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
598×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11339
215899
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 x -30191289437/10000000000)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -30191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -30191289437/10000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (fma.f64 x -30191289437/10000000000 -230753/100000)) (/.f64 53246947009/10000000000 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000) (/.f64 1 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))) (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -30191289437/10000000000 -230753/100000) (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000)) (neg.f64 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 x -30191289437/10000000000) 2)) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -30191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -30191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 2) (cbrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) (sqrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))))

simplify16.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06120
18102
210102
Stop Event
saturated
Counts
67 → 46
Calls
Call 1
Inputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
Outputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)

localize5.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
0.0b
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
0.2b
(/.f64 20191289437/9846394441 x)
0.4b
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
Compiler

Compiled 45 to 28 computations (37.8% saved)

series8.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
1.0ms
x
@0
(/.f64 20191289437/9846394441 x)
1.0ms
x
@inf
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
1.0ms
x
@0
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
1.0ms
x
@inf
(/.f64 20191289437/9846394441 x)

rewrite191.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
736×fma-def_binary64
564×log-prod_binary64
326×fma-neg_binary64
274×log-div_binary64
242×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
127342
2421642
Stop Event
node limit
Counts
4 → 275
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 20191289437/9846394441 x)
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
Outputs
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(-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 19816708627981/977047873985989 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)) (*.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3)) (/.f64 1 (fma.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (-.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3)) (/.f64 1 (fma.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (-.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -2019128943700000/977047873985989 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (*.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (/.f64 1 (+.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (*.f64 2019128943700000/977047873985989 (pow.f64 x -2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (/.f64 1 (+.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (*.f64 2019128943700000/977047873985989 (pow.f64 x -2)))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x) (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (cbrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)))) (cbrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 x)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))))

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Rules
543×fma-neg_binary64
526×associate-/l/_binary64
490×unswap-sqr_binary64
441×cancel-sign-sub-inv_binary64
431×associate-*l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023352
156343
2112343
3267343
4744343
52101343
66911343
Stop Event
node limit
Counts
311 → 292
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
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(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
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(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
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(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.f64 27061/99229 (/.f64 -20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
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(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.f64 27061/99229 (/.f64 -20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
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(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
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(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(*.f64 -1 x)
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(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
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(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))

eval492.0ms (9.4%)

Compiler

Compiled 6726 to 5056 computations (24.8% saved)

prune117.0ms (2.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3362338
Fresh101
Picked101
Done088
Total33810348
Error
0b
Counts
348 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(-.f64 230753/100000 x)
31.6b
(neg.f64 x)
32.5b
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
27.4b
(-.f64 27061/99229 x)
32.5b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
31.5b
(-.f64 (/.f64 27061/4481 x) x)
26.4b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
0.6b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
31.0b
230753/100000
Compiler

Compiled 83 to 62 computations (25.3% saved)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
0.1b
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
0.2b
(/.f64 -20191289437/9846394441 x)
0.5b
(/.f64 -2019128943700000/977047873985989 x)
Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2019128943700000/977047873985989 x)
1.0ms
x
@0
(/.f64 -20191289437/9846394441 x)
1.0ms
x
@inf
(/.f64 -2019128943700000/977047873985989 x)
1.0ms
x
@-inf
(/.f64 -2019128943700000/977047873985989 x)
1.0ms
x
@-inf
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))

rewrite193.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
674×fma-def_binary64
619×log-prod_binary64
406×fma-neg_binary64
335×log-div_binary64
247×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
127531
2434931
Stop Event
node limit
Counts
4 → 195
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 x)
(/.f64 -20191289437/9846394441 x)
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
Outputs
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simplify66.0ms (1.3%)

Algorithm
egg-herbie
Rules
543×fma-neg_binary64
526×associate-/l/_binary64
490×unswap-sqr_binary64
441×cancel-sign-sub-inv_binary64
431×associate-*l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023220
156211
2112211
3267211
4744211
52101211
66911211
Stop Event
node limit
Counts
219 → 209
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))

eval109.0ms (2.1%)

Compiler

Compiled 4333 to 3102 computations (28.4% saved)

prune50.0ms (0.9%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New2081209
Fresh011
Picked011
Done088
Total20811219
Error
0b
Counts
219 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x))
26.4b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
0.7b
(-.f64 230753/100000 x)
31.6b
(neg.f64 x)
32.5b
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
27.4b
(-.f64 27061/99229 x)
32.5b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
31.5b
(-.f64 (/.f64 27061/4481 x) x)
0.6b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
31.0b
230753/100000
Compiler

Compiled 95 to 71 computations (25.3% saved)

regimes28.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Calls

2 calls:

14.0ms
x
9.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 126 to 91 computations (27.8% saved)

regimes20.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 91 to 64 computations (29.7% saved)

regimes17.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x)
Outputs
(-.f64 230753/100000 x)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 78 to 54 computations (30.8% saved)

regimes23.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
Outputs
(neg.f64 x)
230753/100000
(-.f64 27061/99229 x)
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch67.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0014684735685288471
7.13659387610207
34.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes18.0ms (0.3%)

Counts
3 → 3
Calls
Call 1
Inputs
230753/100000
230753/100000
(neg.f64 x)
Outputs
(neg.f64 x)
230753/100000
(neg.f64 x)
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch67.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0014684735685288471
7.13659387610207
34.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
230753/100000
230753/100000
Outputs
230753/100000
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.0b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03288
14988
25588
35688
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
(-.f64 230753/100000 x)
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (-.f64 27061/99229 x)))
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (neg.f64 x)))
230753/100000
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
(-.f64 230753/100000 x)
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (-.f64 27061/99229 x)))
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (neg.f64 x)))
230753/100000
Compiler

Compiled 67 to 50 computations (25.4% saved)

soundness0.0ms (0%)

end75.0ms (1.4%)

Compiler

Compiled 62 to 44 computations (29% saved)

Profiling

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