Details

Time bar (total: 9.2s)

analyze7.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%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 17 to 14 computations (17.6% saved)

sample1.2s (13.4%)

Results
568.0ms5362×body256valid
368.0ms1353×body1024valid
290.0ms1541×body512valid
0.0ms3×body256invalid

preprocess30.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
8.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓2.0b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms
x
@0
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms
x
@-inf
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
0.0ms
x
@inf
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
0.0ms
x
@inf
(/.f64 1 (+.f64 1 x))

rewrite91.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
775×fma-def_binary64
613×log-prod_binary64
390×fma-neg_binary64
316×log-div_binary64
248×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
128942
2460342
Stop Event
1×node limit
Counts
3 → 192
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
(/.f64 1 (+.f64 1 x))
Outputs
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(2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 x)) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (-.f64 1 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 -2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
825×fma-def_binary64
388×sub-neg_binary64
332×fma-neg_binary64
312×times-frac_binary64
231×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
069577
1211559
2576552
31645549
45066548
Stop Event
1×node limit
Counts
228 → 233
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 x (pow.f64 x 3))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))

eval103.0ms (1.1%)

Compiler

Compiled 5314 to 4287 computations (19.3% saved)

prune52.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New21518233
Fresh000
Picked011
Done000
Total21519234
Error
0.0b
Counts
234 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
28.6b
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
34.7b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
26.7b
(fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
23.3b
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
23.7b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶23.7b
(/.f64 (fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
34.8b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
▶22.9b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
✓8.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
35.2b
(/.f64 2 (pow.f64 x 3))
26.6b
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))
24.7b
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
24.0b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
37.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶37.1b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶28.2b
(/.f64 -2 x)
28.8b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
34.6b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
▶26.6b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 726 to 573 computations (21.1% saved)

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (/.f64 -2 x) 2)
✓1.8b
(-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2))
✓3.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓13.9b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Compiler

Compiled 153 to 124 computations (19% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (/.f64 -2 x) 2)
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2))

rewrite119.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
574×fma-neg_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
215×add-sqr-sqrt_binary64
209×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017103
141773
2682573
Stop Event
1×node limit
Counts
4 → 189
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2))
(pow.f64 (/.f64 -2 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (neg.f64 (/.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (/.f64 (/.f64 4 (*.f64 x x)) 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-1)) (/.f64 -2 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (pow.f64 x -1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 x -1) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (pow.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 -2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -2 x) 4)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) -2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2)) (cbrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 x x))))))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
613×fma-neg_binary64
551×cancel-sign-sub-inv_binary64
539×associate-/r*_binary64
520×associate-*l*_binary64
417×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089736
1262722
2698720
31939720
45725720
Stop Event
1×node limit
Counts
237 → 234
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -4 (pow.f64 x 2))
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (+.f64 x (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3))))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(*.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))))
(*.f64 -2 (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 4 (*.f64 x x)))
(fma.f64 (*.f64 x x) 4 (/.f64 -4 (*.f64 x x)))
(*.f64 4 (fma.f64 x x (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 4 (*.f64 x x) (*.f64 8 (pow.f64 x 4))) (/.f64 4 (*.f64 x x)))
(fma.f64 (*.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x))))
(fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 12 (pow.f64 x 6) (fma.f64 4 (*.f64 x x) (*.f64 8 (pow.f64 x 4)))) (/.f64 4 (*.f64 x x)))
(fma.f64 12 (pow.f64 x 6) (fma.f64 (*.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x)))))
(fma.f64 12 (pow.f64 x 6) (fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x)))))
(fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (fma.f64 12 (pow.f64 x 6) (/.f64 -4 (*.f64 x x)))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10))))
(+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10)))))
(+.f64 (/.f64 12 (pow.f64 x 6)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 10)))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10))))
(+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10)))))
(+.f64 (/.f64 12 (pow.f64 x 6)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 10)))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 (/.f64 4 x) x)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓2.5b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 41 to 31 computations (24.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
683×fma-def_binary64
549×log-prod_binary64
359×fma-neg_binary64
279×log-div_binary64
222×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
125919
2404919
Stop Event
1×node limit
Counts
1 → 96
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Outputs
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(+.f64 (/.f64 -2 x) (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 x -1 1)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (cbrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (pow.f64 (+.f64 x -1) -2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 x -1/2)) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 x -1/2)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))))

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
718×div-sub_binary64
502×associate-*l*_binary64
453×fma-neg_binary64
429×fma-def_binary64
391×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028208
176201
2190199
3518199
41671199
55408199
67296199
Stop Event
1×node limit
Counts
108 → 111
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1 x)))
(+.f64 (fma.f64 -1 x -1) (/.f64 -1 x))
(-.f64 (+.f64 -1 (/.f64 -1 x)) x)
(+.f64 (/.f64 -1 x) (-.f64 -1 x))
(+.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 1 x)))
(fma.f64 -1 (fma.f64 x x x) (-.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -1 x) (fma.f64 x x x)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))

localize61.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓0.2b
(/.f64 1 (-.f64 1 (*.f64 x x)))
✓26.6b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 63 to 42 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
0.0ms
x
@0
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
0.0ms
x
@-inf
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
0.0ms
x
@inf
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0ms
x
@0
(/.f64 1 (-.f64 1 (*.f64 x x)))

rewrite100.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
695×log-prod_binary64
647×fma-def_binary64
329×fma-neg_binary64
287×log-div_binary64
274×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01439
132738
2476438
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 1 (-.f64 1 (*.f64 x x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))))

simplify82.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
782×fma-def_binary64
626×cancel-sign-sub-inv_binary64
465×associate-/l*_binary64
315×associate-*l*_binary64
305×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
067433
1191409
2523408
31520406
45038404
Stop Event
1×node limit
Counts
83 → 88
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (fma.f64 x x 1) (pow.f64 x 4))
(+.f64 1 (fma.f64 x x (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))
(+.f64 (pow.f64 x 4) (+.f64 1 (fma.f64 x x (pow.f64 x 6))))
(fma.f64 (fma.f64 x x 1) (pow.f64 x 4) (fma.f64 x x 1))
(*.f64 (fma.f64 x x 1) (+.f64 1 (pow.f64 x 4)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8))))

localize60.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (+.f64 x -1) -2 x)
✓0.0b
(/.f64 (fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
✓0.0b
(*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1)))
✓27.7b
(fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x)))
Compiler

Compiled 81 to 55 computations (32.1% saved)

series15.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x)))
2.0ms
x
@inf
(fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x)))
2.0ms
x
@0
(fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x)))
1.0ms
x
@inf
(*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1)))
1.0ms
x
@-inf
(*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1)))

rewrite156.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
895×prod-diff_binary64
697×log-prod_binary64
427×fma-def_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01378
128178
2391768
Stop Event
1×node limit
Counts
4 → 182
Calls
Call 1
Inputs
(fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x)))
(*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1)))
(/.f64 (fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
(fma.f64 (+.f64 x -1) -2 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (fma.f64 x -1 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))) (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) (pow.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) 2) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) (pow.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) 2)) (-.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x 1)) (pow.f64 (exp.f64 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)))) (pow.f64 (exp.f64 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x 1)) (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) x))) (pow.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) x))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (*.f64 x (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (+.f64 x 1))) (*.f64 -1 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 x (+.f64 x 1))) (*.f64 x (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) (*.f64 x x)) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x 1)) x) (*.f64 (*.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x 1)) -1) (*.f64 (*.f64 x (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (*.f64 x x) x)) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) 3) (pow.f64 (*.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x -1) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 x -1) -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1) -2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x))) (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1) -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1) -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1) -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)) (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1) -2) 3) (pow.f64 x 3)) (fma.f64 (*.f64 (+.f64 x -1) -2) (*.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x -1) -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1) -2) (*.f64 (+.f64 x -1) -2)) (*.f64 x x)) (-.f64 (*.f64 (+.f64 x -1) -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1) -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1) -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (+.f64 x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (+.f64 x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x -1) -2)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1) -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1) -2 x)))))))

simplify84.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
772×times-frac_binary64
716×fma-def_binary64
483×associate-/l*_binary64
347×cancel-sign-sub-inv_binary64
315×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044373
1131340
2334339
3805338
41742338
54284338
Stop Event
1×node limit
Counts
230 → 204
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)

eval1.3s (14.3%)

Compiler

Compiled 31682 to 23867 computations (24.7% saved)

prune460.0ms (5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9169925
Fresh12113
Picked101
Done325
Total93212944
Error
0.0b
Counts
944 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
35.2b
(/.f64 2 (pow.f64 x 3))
▶0.0b
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
42.9b
(+.f64 (/.f64 1 x) (/.f64 -1 x))
▶37.0b
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
56.6b
(+.f64 -1 (/.f64 -1 x))
▶37.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶46.7b
(/.f64 1 (*.f64 x x))
34.7b
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
36.5b
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
✓28.2b
(/.f64 -2 x)
▶56.0b
(/.f64 -1 x)
✓8.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 272 to 218 computations (19.9% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
1.0ms
x
@0
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
1.0ms
x
@-inf
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))

rewrite70.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
485×log-prod_binary64
391×prod-diff_binary64
355×pow-prod-down_binary64
308×fma-def_binary64
265×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01016
122116
2297611
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) 2) (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (*.f64 (fma.f64 x x -1) x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (fma.f64 x x -1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x -1) x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (fma.f64 x x -1) x))))))))

simplify176.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
772×times-frac_binary64
699×fma-def_binary64
476×associate-/l*_binary64
415×associate-*l/_binary64
302×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040217
1122211
2313210
3770209
41667209
54031209
Stop Event
1×node limit
Counts
44 → 46
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (*.f64 x x))
0.0ms
x
@inf
(/.f64 1 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 1 (*.f64 x x))

rewrite86.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11004
211634
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (*.f64 (cbrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) -1) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) 3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify156.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1118×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
21984
33484
47484
522084
681984
7202884
8219484
9237884
10258684
11288584
12327884
13375984
14432784
15501784
16585684
17625284
18654284
19681684
20689084
21692484
Stop Event
1×node limit
Counts
50 → 40
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓2.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite149.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
902×prod-diff_binary64
612×unpow-prod-down_binary64
406×fma-def_binary64
392×log-prod_binary64
233×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118213
2270513
Stop Event
1×node limit
Counts
1 → 78
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (/.f64 -1 x))) (hypot.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 -1 x -1)) (/.f64 1 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 -1 x -1)) (pow.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x))) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2) (hypot.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (/.f64 -1 x)))) 1/3) (cbrt.f64 (hypot.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) 2) 3) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (+.f64 x (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)) (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (fma.f64 -1 x -1)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 (/.f64 -1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (fma.f64 -1 x -1))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (+.f64 1 x)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1 (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1) (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x -1) 1)) (*.f64 (*.f64 x -1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (*.f64 x -1) -1)) (*.f64 (*.f64 x -1) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (fma.f64 -1 x -1) (*.f64 x -1)) (*.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) -2)) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (+.f64 1 x)) (+.f64 x (fma.f64 -1 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (/.f64 -1 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 x -1)) (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (exp.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 x))) (exp.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 x)) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -1) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x -1)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1) -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 -1 x))))))

simplify88.0ms (1%)

Algorithm
1×egg-herbie
Rules
501×distribute-neg-frac_binary64
450×associate-*l*_binary64
417×associate-/r*_binary64
366×distribute-rgt-neg-in_binary64
347×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031204
177201
2168199
3456199
41472199
55996199
Stop Event
1×node limit
Counts
90 → 93
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))
✓0.2b
(/.f64 8 (pow.f64 x 4))
3.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓5.8b
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Compiler

Compiled 81 to 64 computations (21% saved)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 8 (pow.f64 x 4))
1.0ms
x
@0
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@inf
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@-inf
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@inf
(/.f64 8 (pow.f64 x 4))

rewrite167.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
811×fma-def_binary64
467×fma-neg_binary64
336×expm1-udef_binary64
336×log1p-udef_binary64
204×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
140860
2617060
Stop Event
1×node limit
Counts
3 → 204
Calls
Call 1
Inputs
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 8 (pow.f64 x 4))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))
Outputs
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-2 x))) (cbrt.f64 (/.f64 4 (*.f64 x x))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (/.f64 -2 x))) (-.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (/.f64 -2 x))) (+.f64 (/.f64 2 x) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (cbrt.f64 (/.f64 -2 x)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (*.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)) 1))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1035×fma-neg_binary64
883×fma-def_binary64
525×distribute-neg-frac_binary64
451×associate-/r*_binary64
350×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
060414
1163414
2415412
31045411
42363410
56126410
Stop Event
1×node limit
Counts
228 → 232
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 x 3))
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(/.f64 2 x)
(+.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(/.f64 4 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 4 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
Outputs
(/.f64 4 (pow.f64 x 3))
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))))
(fma.f64 x 8 (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 x 8 (/.f64 4 x)))
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))))
(fma.f64 16 (pow.f64 x 3) (fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 3) 16 (fma.f64 x 8 (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
(fma.f64 x 8 (fma.f64 (pow.f64 x 3) 16 (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 x (fma.f64 x (*.f64 x 16) 8) (/.f64 4 x)))
(+.f64 (/.f64 4 x) (fma.f64 x (fma.f64 x (*.f64 x 16) 8) (/.f64 4 (pow.f64 x 3))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1/2 (pow.f64 x 7)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))) (/.f64 1/4 (pow.f64 x 9))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (+.f64 (/.f64 1/4 (pow.f64 x 9)) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1/2 (pow.f64 x 7)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))) (/.f64 1/4 (pow.f64 x 9))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (+.f64 (/.f64 1/4 (pow.f64 x 9)) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 2 x))
(fma.f64 x -2 (/.f64 2 x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -2 (fma.f64 (pow.f64 x 3) -2 (/.f64 2 x)))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (/.f64 2 x))))
(fma.f64 x -2 (fma.f64 (pow.f64 x 5) -2 (fma.f64 (pow.f64 x 3) -2 (/.f64 2 x))))
(fma.f64 -2 (+.f64 x (pow.f64 x 5)) (fma.f64 (pow.f64 x 3) -2 (/.f64 2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 2 x))
(/.f64 4 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 4 x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(/.f64 4 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 4 x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 4 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 4 x) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))

eval614.0ms (6.7%)

Compiler

Compiled 13223 to 9508 computations (28.1% saved)

prune220.0ms (2.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5878595
Fresh505
Picked101
Done246
Total59512607
Error
0b
Counts
607 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.2b
(/.f64 -2 x)
6.8b
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)))
37.0b
(/.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 x))
▶35.2b
(/.f64 2 (pow.f64 x 3))
▶42.9b
(+.f64 (/.f64 1 x) (/.f64 -1 x))
▶36.9b
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
▶46.9b
(/.f64 -1 (*.f64 x x))
▶0.1b
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
46.8b
(*.f64 (/.f64 1 x) (/.f64 1 x))
✓46.7b
(/.f64 1 (*.f64 x x))
✓56.0b
(/.f64 -1 x)
✓0.0b
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
Compiler

Compiled 206 to 147 computations (28.6% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 1 x))
✓0.0b
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
✓0.2b
(/.f64 1 (fma.f64 x x (neg.f64 x)))
Compiler

Compiled 39 to 20 computations (48.7% saved)

series40.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
36.0ms
x
@0
(/.f64 1 (fma.f64 x x (neg.f64 x)))
1.0ms
x
@inf
(/.f64 1 (fma.f64 x x (neg.f64 x)))
1.0ms
x
@-inf
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
1.0ms
x
@0
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
1.0ms
x
@inf
(/.f64 2 (+.f64 1 x))

rewrite254.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
456×log-prod_binary64
433×prod-diff_binary64
293×pow-prod-down_binary64
236×pow2_binary64
181×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
122529
2310129
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 x x (neg.f64 x)))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 2 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 x -1) -2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (/.f64 -2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 x) (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (fma.f64 x x x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (+.f64 x -1) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (fma.f64 x x x) (/.f64 -1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (+.f64 x -1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2) (/.f64 (fma.f64 x x x) (cbrt.f64 (/.f64 -2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) (/.f64 (fma.f64 x x x) (sqrt.f64 (/.f64 -2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (+.f64 x -1) -2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (fma.f64 x x x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (+.f64 x -1) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 (+.f64 x -1))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (fma.f64 x x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (+.f64 x -1)) (hypot.f64 x (sqrt.f64 x))) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (+.f64 x -1)) 1) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (+.f64 x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -2 (+.f64 x -1))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 1 (fma.f64 x x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x x x)) -2) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 (+.f64 x -1)) -1) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3) (pow.f64 (fma.f64 x x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 x -1) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x -1) -2) (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x x x) (+.f64 1 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x x) (/.f64 -2 (+.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (/.f64 2 (fma.f64 x x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3) (pow.f64 (fma.f64 x x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 -2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) (sqrt.f64 (/.f64 -2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (+.f64 x -1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 2) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 x -1))))))))

simplify94.0ms (1%)

Algorithm
1×egg-herbie
Rules
558×associate-*l/_binary64
476×associate-/l*_binary64
316×fma-neg_binary64
315×fma-def_binary64
312×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070607
1225588
2634585
31731579
44370579
Stop Event
1×node limit
Counts
170 → 177
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x -1) (/.f64 1 x))
(-.f64 (+.f64 -1 (/.f64 -1 x)) x)
(+.f64 (/.f64 -1 x) (-.f64 -1 x))
(+.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 1 x))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -1 x) (fma.f64 x x x)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 (fma.f64 x x 1) 2 (*.f64 x -2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (*.f64 2 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x 1) (fma.f64 x -2 2))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 4))) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 x))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 4))) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 x))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -1 (*.f64 x x))
1.0ms
x
@inf
(/.f64 -1 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 -1 (*.f64 x x))

rewrite58.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
458×pow1_binary64
443×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
424×add-log-exp_binary64
424×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11026
212166
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))

simplify176.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
34 → 24
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))

localize14.0ms (0.2%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 12 to 9 computations (25% saved)

series19.0ms (0.2%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
1.0ms
x
@inf
(/.f64 2 (pow.f64 x 3))
1.0ms
x
@-inf
(/.f64 2 (pow.f64 x 3))

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
541×pow1_binary64
512×add-log-exp_binary64
511×log1p-expm1-u_binary64
511×expm1-log1p-u_binary64
501×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11357
214557
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 (cbrt.f64 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize147.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))
✓0.0b
(*.f64 (pow.f64 x -4) 8)
3.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓5.8b
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Compiler

Compiled 81 to 64 computations (21% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@inf
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms
x
@-inf
(*.f64 (pow.f64 x -4) 8)
0.0ms
x
@inf
(*.f64 (pow.f64 x -4) 8)

rewrite323.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
789×fma-def_binary64
440×fma-neg_binary64
338×expm1-udef_binary64
338×log1p-udef_binary64
204×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
140438
2608938
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(*.f64 (pow.f64 x -4) 8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (/.f64 1 (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (*.f64 8 (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (pow.f64 x -4) (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -4) 8) (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 64 (pow.f64 x -8))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 2) (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) (pow.f64 (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 2) (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) (*.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -4) -8) (/.f64 1 (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (*.f64 (pow.f64 x -4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -4) 1) (/.f64 8 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 64 (pow.f64 x -8))) 1) (/.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 2) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) 1) (/.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -4) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (/.f64 8 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (/.f64 (pow.f64 x -4) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (/.f64 (*.f64 (pow.f64 x -4) 8) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 64 (pow.f64 x -8))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) 2)) (/.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -4) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) (/.f64 8 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) (/.f64 (pow.f64 x -4) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) (/.f64 (*.f64 (pow.f64 x -4) 8) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 64 (pow.f64 x -8))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 2) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3)))) (fma.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 1 (+.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (/.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) (pow.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 x -4) 8) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 64 (pow.f64 x -8)) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x -4) 8) 3) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -4) 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -4) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -4) 8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8) (pow.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64 (pow.f64 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -4) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -4) 8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -4) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -4) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -4) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -4) 8)))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
636×unswap-sqr_binary64
570×distribute-neg-frac_binary64
484×associate-/r/_binary64
471×associate-/r*_binary64
456×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043309
1112309
2276309
3671309
41694309
55380309
Stop Event
1×node limit
Counts
82 → 73
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 x 3))
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
Outputs
(/.f64 4 (pow.f64 x 3))
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))
(/.f64 (+.f64 4 (/.f64 4 (*.f64 x x))) x)
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 4 x) (fma.f64 x 8 (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 x 8 (/.f64 4 x)))
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))))
(fma.f64 16 (pow.f64 x 3) (fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 3) 16 (+.f64 (/.f64 4 x) (fma.f64 x 8 (/.f64 4 (pow.f64 x 3)))))
(+.f64 (/.f64 4 x) (fma.f64 (pow.f64 x 3) 16 (fma.f64 x 8 (/.f64 4 (pow.f64 x 3)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 x (fma.f64 x (*.f64 x 16) 8) (/.f64 4 x)))
(+.f64 (/.f64 4 x) (fma.f64 x (fma.f64 x (*.f64 x 16) 8) (/.f64 4 (pow.f64 x 3))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 -1/2 (pow.f64 x 7)) (/.f64 -1/4 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 9))))
(-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1/2 (pow.f64 x 7))) (-.f64 (/.f64 1/4 (pow.f64 x 9)) (/.f64 -1 (pow.f64 x 5))))
(/.f64 2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 -1/2 (pow.f64 x 7)) (/.f64 -1/4 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 9))))
(-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1/2 (pow.f64 x 7))) (-.f64 (/.f64 1/4 (pow.f64 x 9)) (/.f64 -1 (pow.f64 x 5))))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))
(/.f64 8 (pow.f64 x 4))

eval679.0ms (7.4%)

Compiler

Compiled 11895 to 8489 computations (28.6% saved)

prune91.0ms (1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New5103513
Fresh123
Picked101
Done178
Total51312525
Error
0b
Counts
525 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.2b
(/.f64 -2 x)
6.8b
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)))
35.0b
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))
35.2b
(*.f64 (pow.f64 x -3) 2)
47.0b
(*.f64 (/.f64 -1 x) (/.f64 1 x))
✓0.1b
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
✓46.9b
(/.f64 -1 (*.f64 x x))
46.8b
(*.f64 (/.f64 1 x) (/.f64 1 x))
✓46.7b
(/.f64 1 (*.f64 x x))
✓56.0b
(/.f64 -1 x)
✓0.0b
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
✓42.9b
(+.f64 (/.f64 1 x) (/.f64 -1 x))
Compiler

Compiled 104 to 72 computations (30.8% saved)

regimes80.0ms (0.9%)

Counts
40 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(*.f64 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 x))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (fma.f64 x x (neg.f64 x))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))
(/.f64 (fma.f64 x (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Outputs
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
Calls

2 calls:

26.0ms
x
24.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 598 to 453 computations (24.2% saved)

regimes25.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))
Outputs
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))
(/.f64 -2 x)
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 72 to 49 computations (31.9% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
9.680861912954761e-15
2.056593544460586
22.0ms
-2737.7937741464616
-7.986200680875392e-18
Compiler

Compiled 20 to 16 computations (20% saved)

regimes37.0ms (0.4%)

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

1 calls:

34.0ms
x
Results
ErrorSegmentsBranch
9.4b3x
Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch51.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
9.680861912954761e-15
2.056593544460586
25.0ms
-2737.7937741464616
-7.986200680875392e-18
Compiler

Compiled 20 to 16 computations (20% saved)

regimes20.0ms (0.2%)

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

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
9.5b3x
Compiler

Compiled 52 to 35 computations (32.7% saved)

bsearch87.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
63.0ms
9.680861912954761e-15
2.056593544460586
24.0ms
-2737.7937741464616
-7.986200680875392e-18
Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
Outputs
(/.f64 -1 (*.f64 x x))
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
13.0b3x
Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch45.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
9.680861912954761e-15
2.056593544460586
23.0ms
-2737.7937741464616
-7.986200680875392e-18
Compiler

Compiled 20 to 16 computations (20% saved)

regimes137.0ms (1.5%)

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

1 calls:

136.0ms
x
Results
ErrorSegmentsBranch
13.4b3x
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch45.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
9.680861912954761e-15
2.056593544460586
23.0ms
-2737.7937741464616
-7.986200680875392e-18
Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.2%)

Accuracy

Total -27.8b remaining (-98.6%)

Threshold costs -27.8b (-98.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
Outputs
(/.f64 -2 x)
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
28.2b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
3×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036207
145207
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
(if (<=.f64 x -6020472178253549/2199023255552) (*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -6020472178253549/2199023255552) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (/.f64 -1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Outputs
(/.f64 2 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1))))
(if (<=.f64 x -6020472178253549/2199023255552) (*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 -1 x) (/.f64 1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (+.f64 (/.f64 -1 x) (/.f64 1 x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (+.f64 (/.f64 -1 x) (/.f64 1 x))))
(if (<=.f64 x -6020472178253549/2199023255552) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -6020472178253549/2199023255552) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (/.f64 -2 x) (/.f64 -1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Compiler

Compiled 152 to 107 computations (29.6% saved)

soundness34.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
Stop Event
1×saturated
Compiler

Compiled 149 to 122 computations (18.1% saved)

end225.0ms (2.4%)

Compiler

Compiled 145 to 98 computations (32.4% saved)

Profiling

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