Details

Time bar (total: 6.7s)

analyze7.0ms (0.1%)

Algorithm
1×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)

sample1.3s (18.8%)

Results
1.2s8256×body256valid

preprocess92.0ms (1.4%)

Algorithm
2×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
1×saturated
1×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)

simplify71.0ms (1.1%)

Algorithm
1×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
1×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
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.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)

localize40.0ms (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)
✓15.0b
(/.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)))))

rewrite100.0ms (1.5%)

Algorithm
1×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
1×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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((#(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)))))))

simplify61.0ms (0.9%)

Algorithm
1×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
1×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))

eval68.0ms (1%)

Compiler

Compiled 2991 to 2284 computations (23.6% saved)

prune70.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1367143
Fresh000
Picked011
Done000
Total1368144
Error
0b
Counts
144 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
▶26.0b
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
▶1.3b
(-.f64 230753/100000 x)
16.0b
(-.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) x)
▶32.8b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
✓0.0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
▶31.9b
(-.f64 (/.f64 27061/4481 x) x)
▶0.2b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) x)
Compiler

Compiled 202 to 154 computations (23.8% saved)

localize107.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
✓0.1b
(fma.f64 x 4481/100000 99229/100000)
0.4b
(*.f64 x 27061/100000)
✓3.3b
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
Compiler

Compiled 101 to 80 computations (20.8% saved)

series71.0ms (1.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
34.0ms
x
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
20.0ms
x
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
14.0ms
x
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
0.0ms
x
@-inf
(fma.f64 x 4481/100000 99229/100000)
0.0ms
x
@-inf
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

rewrite101.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
784×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120321
2210021
Stop Event
1×node limit
Counts
3 → 75
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) x) (*.f64 99229/100000 x))))) (#(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 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 4481/100000 99229/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) (*.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2)) (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x 4481/100000 99229/100000))) (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 4481/100000 99229/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 4481/100000 99229/100000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.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 sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) (pow.f64 x 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 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 +.f64 99229/100000 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4481/100000) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) 1) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2) (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 4481/100000) 3) 977047873985989/1000000000000000) (+.f64 (*.f64 (*.f64 x 4481/100000) (*.f64 x 4481/100000)) (-.f64 9846394441/10000000000 (*.f64 (*.f64 x 4481/100000) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 4481/100000) (*.f64 x 4481/100000)) 9846394441/10000000000) (-.f64 (*.f64 x 4481/100000) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) x) (*.f64 99229/100000 x))))) (#(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 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.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 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 cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) (pow.f64 x 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 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))))))))

simplify183.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
778×sqr-pow_binary64
586×associate-*l*_binary64
561×cube-prod_binary64
553×fabs-mul_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015296
127236
243236
372236
4175236
5514236
61797236
73020236
83216236
93429236
103649236
113961236
124363236
134854236
145422236
156108236
166941236
177333236
187623236
197901236
207969236
Stop Event
1×node limit
Counts
111 → 67
Calls
Call 1
Inputs
(*.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 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.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
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 230753/100000 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 230753/100000 x)
0.0ms
x
@inf
(-.f64 230753/100000 x)
0.0ms
x
@-inf
(-.f64 230753/100000 x)

rewrite75.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
493×pow1_binary64
487×add-sqr-sqrt_binary64
465×add-log-exp_binary64
465×log1p-expm1-u_binary64
465×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1924
211774
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 230753/100000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 230753/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 230753/100000 x)) (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 230753/100000 x)) (sqrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))) (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 x) (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (neg.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) (neg.f64 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 230753/100000 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 230753/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 230753/100000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 230753/100000 x)))))))

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
7×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0661
1943
21443
31843
42543
53543
64743
75943
86243
Stop Event
1×saturated
Counts
40 → 33
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite46.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
400×pow1_binary64
396×add-sqr-sqrt_binary64
382×*-un-lft-identity_binary64
377×add-log-exp_binary64
377×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1874
210254
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(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 *.f64 (pow.f64 1 1/3) (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) 27061/4481) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) (sqrt.f64 (/.f64 27061/4481 x))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 27061/4481) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 2) 3) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 27061/4481) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 4481/27061)) 2) -1) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 27061/4481 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 27061/4481 x) 3) 1/3)))) (#(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 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 4481/27061) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 27061/4481 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)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
35 → 35
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

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)

series35.0ms (0.5%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@0
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@inf
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@0
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
0.0ms
x
@inf
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)

rewrite71.0ms (1.1%)

Algorithm
1×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
1×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)))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×fma-def_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0881
11163
21363
Stop Event
1×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)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
✓0.2b
(/.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)

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (/.f64 -1651231776/20079361 x) x)
1.0ms
x
@0
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.0ms
x
@inf
(/.f64 -1651231776/20079361 x)
0.0ms
x
@inf
(/.f64 (/.f64 -1651231776/20079361 x) x)

rewrite87.0ms (1.3%)

Algorithm
1×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
1×node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(/.f64 (/.f64 -1651231776/20079361 x) x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
Outputs
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simplify64.0ms (1%)

Algorithm
1×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
1×node limit
Counts
212 → 193
Calls
Call 1
Inputs
(/.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))
(/.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))))
Outputs
(/.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))
(/.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)))

eval306.0ms (4.6%)

Compiler

Compiled 7364 to 5502 computations (25.3% saved)

prune68.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4666472
Fresh112
Picked011
Done235
Total46911480
Error
0b
Counts
480 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.9b
(neg.f64 x)
▶0.9b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
29.3b
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x -30191289437/10000000000) (*.f64 x -30191289437/10000000000))) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))
✓1.3b
(-.f64 230753/100000 x)
30.8b
230753/100000
▶26.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
▶0.2b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))) x)
✓32.8b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
✓0.0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
✓31.9b
(-.f64 (/.f64 27061/4481 x) x)
▶26.0b
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
Compiler

Compiled 180 to 141 computations (21.7% saved)

localize56.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
0.3b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
✓3.3b
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
Compiler

Compiled 112 to 90 computations (19.6% saved)

series699.0ms (10.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
662.0ms
x
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
30.0ms
x
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
6.0ms
x
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
0.0ms
x
@0
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
0.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))

rewrite88.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
458×log-prod_binary64
458×prod-diff_binary64
303×fma-def_binary64
289×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123916
2278516
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
Outputs
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(*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))) (log.f64 (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (*.f64 2 (*.f64 1/3 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1) (*.f64 (*.f64 x 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (-.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 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simplify73.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
464×unsub-neg_binary64
457×neg-sub0_binary64
449×neg-mul-1_binary64
435×fma-neg_binary64
372×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016242
132182
257182
3117182
4358182
51266182
62559182
74171182
86690182
Stop Event
1×node limit
Counts
177 → 92
Calls
Call 1
Inputs
(*.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 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) 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
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize2.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
✓0.4b
(*.f64 x -30191289437/10000000000)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm
1×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
1×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)))))

simplify29.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06120
18102
210102
Stop Event
1×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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite103.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
875×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11668
222918
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 230753/100000 (-.f64 x (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) x)) (/.f64 (pow.f64 (-.f64 230753/100000 x) 2) (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) (sqrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) (pow.f64 (-.f64 230753/100000 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (-.f64 230753/100000 x) (-.f64 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (pow.f64 (-.f64 230753/100000 x) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (-.f64 230753/100000 x) (-.f64 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x)))) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) (pow.f64 (-.f64 230753/100000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) x) (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (pow.f64 (-.f64 230753/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) (pow.f64 (-.f64 230753/100000 x) 3)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (-.f64 230753/100000 x) (-.f64 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) (pow.f64 (-.f64 230753/100000 x) 3)) (+.f64 (pow.f64 (-.f64 230753/100000 x) 2) (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (pow.f64 (-.f64 230753/100000 x) 2)) (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) (pow.f64 (-.f64 230753/100000 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (-.f64 230753/100000 x) (-.f64 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (pow.f64 (-.f64 230753/100000 x) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000) 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 (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (fma.f64 -20191289437/10000000000 x 230753/100000)) (+.f64 (*.f64 x x) (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 x x)) (+.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 230753/100000 x) 2) (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (-.f64 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 230753/100000 x) (*.f64 -20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2) (cbrt.f64 (-.f64 230753/100000 x)) (*.f64 -20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 230753/100000 x)) (sqrt.f64 (-.f64 230753/100000 x)) (*.f64 -20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (-.f64 230753/100000 x))))))

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
51 → 43
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))
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)

localize70.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 230753/100000 (*.f64 x 27061/100000))
✓0.0b
(*.f64 x 99229/100000)
✓0.1b
(/.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)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite103.0ms (1.5%)

Algorithm
1×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
1×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 230753/100000 (*.f64 x 27061/100000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2)) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 99229/100000 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) -2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 99229/100000 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (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 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x 99229/100000 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x 99229/100000 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 1))))))
((#(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 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 -27061/100000 x))) (/.f64 (*.f64 (*.f64 x x) 732297721/10000000000) (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x x) 732297721/10000000000 (-.f64 53246947009/10000000000 (*.f64 6244406933/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (+.f64 230753/100000 (*.f64 -27061/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 732297721/10000000000 -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 27061/100000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/100000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 27061/100000) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 27061/100000)) (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) (cbrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 27061/100000)) (sqrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify105.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
626×fma-def_binary64
541×associate-*l*_binary64
536×unswap-sqr_binary64
451×associate-/r/_binary64
340×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040261
1100241
2221238
3542231
41457228
54832224
Stop Event
1×node limit
Counts
145 → 128
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)
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
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 x (*.f64 x 2003561459544073/1000000000000000))))
(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 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 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 27061/99229 (-.f64 (/.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 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 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 27061/99229 (-.f64 (+.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 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989))))
(+.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 27061/99229 (-.f64 (/.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 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 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 27061/99229 (-.f64 (+.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 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989))))
(+.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)
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)

eval320.0ms (4.8%)

Compiler

Compiled 6887 to 5372 computations (22% saved)

prune122.0ms (1.8%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New3954399
Fresh112
Picked011
Done088
Total39614410
Error
0b
Counts
410 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.9b
(neg.f64 x)
✓0.9b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
▶32.3b
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
30.8b
230753/100000
✓26.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
✓31.9b
(-.f64 (/.f64 27061/4481 x) x)
▶29.3b
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
✓26.0b
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
▶33.2b
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
▶28.1b
(-.f64 27061/99229 x)
✓1.3b
(-.f64 230753/100000 x)
✓0.2b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))) x)
✓32.8b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
✓0.0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 135 to 102 computations (24.4% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 230753/100000 x)
✓0.1b
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
0.6b
(*.f64 -20191289437/10000000000 x)
✓15.4b
(/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series10.0ms (0.1%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
2.0ms
x
@-inf
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
2.0ms
x
@0
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
1.0ms
x
@0
(/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))
1.0ms
x
@inf
(/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))

rewrite138.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
597×log-prod_binary64
412×fma-def_binary64
337×pow2_binary64
273×fma-neg_binary64
229×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
126416
2382116
Stop Event
1×node limit
Counts
3 → 167
Calls
Call 1
Inputs
(/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
(+.f64 230753/100000 x)
Outputs
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simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
7×sub-neg_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09136
114100
221100
325100
432100
542100
654100
769100
876100
977100
Stop Event
1×saturated
Counts
194 → 176
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 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))
230753/100000
x
x
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
230753/100000
x
x

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 27061/99229 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 27061/99229 x)
0.0ms
x
@-inf
(-.f64 27061/99229 x)
0.0ms
x
@inf
(-.f64 27061/99229 x)

rewrite87.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
493×pow1_binary64
487×add-sqr-sqrt_binary64
465×add-log-exp_binary64
465×log1p-expm1-u_binary64
465×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1924
211774
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 27061/99229 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 27061/99229 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 27061/99229 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 27061/99229 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 27061/99229 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 27061/99229 x)) (pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 2) (cbrt.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 27061/99229 x)) (sqrt.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3)) (/.f64 1 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 732297721/9846394441 (*.f64 x x)) (/.f64 1 (+.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x))) (-.f64 19816708627981/977047873985989 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 27061/99229 x) (-.f64 732297721/9846394441 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3)) (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 732297721/9846394441 (*.f64 x x)) (+.f64 27061/99229 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3))) (neg.f64 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 732297721/9846394441 (*.f64 x x))) (neg.f64 (+.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19816708627981/977047873985989 (pow.f64 (neg.f64 x) 3)) (+.f64 732297721/9846394441 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 27061/99229 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 732297721/9846394441 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 27061/99229 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 27061/99229 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 27061/99229 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 27061/99229 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 27061/99229 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 27061/99229 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 27061/99229 x)))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0661
1943
21443
31843
42543
53543
64743
75943
86243
Stop Event
1×saturated
Counts
40 → 33
Calls
Call 1
Inputs
27061/99229
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (*.f64 -1 x))
Outputs
27061/99229
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 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 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 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 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
✓0.0b
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
✓0.1b
(/.f64 20191289437/9846394441 x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 20191289437/9846394441 x)
0.0ms
x
@inf
(/.f64 20191289437/9846394441 x)
0.0ms
x
@-inf
(/.f64 20191289437/9846394441 x)
0.0ms
x
@0
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
0.0ms
x
@0
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))

rewrite84.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
745×prod-diff_binary64
503×unpow-prod-down_binary64
352×log-prod_binary64
312×fma-def_binary64
224×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
117121
2244121
Stop Event
1×node limit
Counts
3 → 227
Calls
Call 1
Inputs
(/.f64 20191289437/9846394441 x)
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (pow.f64 (/.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 20191289437/9846394441) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 3) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 20191289437/9846394441) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8231749822918346830573921576453/954622548060541040474968308121 1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 20191289437/9846394441) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 20191289437/9846394441 x) (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9846394441/20191289437)) 2) -1) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9846394441/20191289437) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 20191289437/9846394441 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 20191289437/9846394441 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9846394441/20191289437)) -1))))))
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27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2) -732297721/9846394441) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441) (fma.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3) 19816708627981/977047873985989)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/9846394441 (/.f64 1 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 20191289437/9846394441 x) 1 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 20191289437/9846394441 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 27061/99229)))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
179×fma-def_binary64
155×fma-neg_binary64
52×cancel-sign-sub-inv_binary64
36×associate-/l*_binary64
34×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014164
126154
240154
359154
495154
5156154
6290154
7420154
8556154
9687154
10801154
11851154
12921154
13941154
14959154
Stop Event
1×saturated
Counts
251 → 236
Calls
Call 1
Inputs
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
Outputs
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) 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 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))
✓0.0b
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
0.1b
(/.f64 20191289437/9846394441 x)
✓0.6b
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
Compiler

Compiled 45 to 28 computations (37.8% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
0.0ms
x
@inf
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
0.0ms
x
@0
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
0.0ms
x
@-inf
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
0.0ms
x
@inf
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))

rewrite164.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
687×prod-diff_binary64
499×log-prod_binary64
306×fma-def_binary64
219×log-div_binary64
214×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
124328
2343128
Stop Event
1×node limit
Counts
3 → 248
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2019128943700000/977047873985989 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 1))))))
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((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) (cbrt.f64 (/.f64 -20191289437/9846394441 x))) (cbrt.f64 (/.f64 -20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -20191289437/9846394441 x)) (sqrt.f64 (/.f64 -20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 20191289437/9846394441 x) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2)) (cbrt.f64 (/.f64 20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) (sqrt.f64 (/.f64 20191289437/9846394441 x)) -27061/99229)))))

simplify57.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
749×distribute-neg-frac_binary64
598×associate-/l/_binary64
548×fma-neg_binary64
434×unswap-sqr_binary64
423×associate-*l/_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
021303
149285
2101285
3200285
4432285
51296285
64795273
Stop Event
1×node limit
Counts
284 → 260
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 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 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 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441))
(*.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441))
(-.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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))

eval547.0ms (8.2%)

Compiler

Compiled 14647 to 11030 computations (24.7% saved)

prune212.0ms (3.2%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New7581759
Fresh011
Picked011
Done01212
Total75815773
Error
0b
Counts
773 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.9b
(neg.f64 x)
✓0.9b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
✓32.3b
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
30.8b
230753/100000
✓26.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
✓31.9b
(-.f64 (/.f64 27061/4481 x) x)
✓29.3b
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
✓26.0b
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
✓33.2b
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
57.7b
27061/99229
✓28.1b
(-.f64 27061/99229 x)
✓1.3b
(-.f64 230753/100000 x)
✓0.2b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))) x)
✓32.8b
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
✓0.0b
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 137 to 104 computations (24.1% saved)

regimes51.0ms (0.8%)

Counts
19 → 1
Calls
Call 1
Inputs
27061/99229
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 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x -30191289437/10000000000) (*.f64 x -30191289437/10000000000))) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))
(-.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 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) x)
(-.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 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:

20.0ms
x
14.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 211 to 157 computations (25.6% saved)

regimes25.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
27061/99229
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 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x -30191289437/10000000000) (*.f64 x -30191289437/10000000000))) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 109 to 77 computations (29.4% saved)

regimes22.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
27061/99229
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 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(+.f64 (*.f64 -20191289437/10000000000 x) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x)))
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
Outputs
(-.f64 230753/100000 x)
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 81 to 55 computations (32.1% saved)

regimes44.0ms (0.7%)

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

1 calls:

42.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch86.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
0.10266196555053207
4.2146016285945445
44.0ms
-23239160.17582378
-0.0002050319247836225
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -26.9b remaining (-87.2%)

Threshold costs -26.9b (-87.2%)

Counts
2 → 1
Calls
Call 1
Inputs
27061/99229
230753/100000
Outputs
230753/100000
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
30.8b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02969
14569
25069
35169
Stop Event
1×fuel
1×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 -99811432941668752/4294967296) (neg.f64 x) (if (<=.f64 x 1893779004614651648/18446744073709551616) 230753/100000 (neg.f64 x)))
230753/100000
27061/99229
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 -99811432941668752/4294967296) (neg.f64 x) (if (<=.f64 x 1893779004614651648/18446744073709551616) 230753/100000 (neg.f64 x)))
(if (<=.f64 x -6238214558854297/268435456) (neg.f64 x) (if (<=.f64 x 7397574236775983/72057594037927936) 230753/100000 (neg.f64 x)))
230753/100000
27061/99229
Compiler

Compiled 54 to 41 computations (24.1% saved)

soundness0.0ms (0%)

end47.0ms (0.7%)

Compiler

Compiled 49 to 36 computations (26.5% saved)

Profiling

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