Details

Time bar (total: 11.0s)

analyze28.0ms (0.3%)

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)

sample2.3s (21.4%)

Results
860.0ms5358×body256valid
725.0ms1359×body1024valid
708.0ms1539×body512valid

preprocess144.0ms (1.3%)

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)

simplify21.0ms (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
10.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶10.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(/.f64 1 (+.f64 x -1))
✓0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓2.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 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 x -1))

rewrite114.0ms (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
01249
128949
2460349
Stop Event
1×node limit
Counts
4 → 220
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 x -1))
(/.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 log1p.f64 (expm1.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 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 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 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 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))))
((#(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 log1p.f64 (expm1.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))))))

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
531×fma-neg_binary64
484×sub-neg_binary64
330×fma-def_binary64
312×times-frac_binary64
253×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076755
1231730
2644719
31937716
45425713
Stop Event
1×node limit
Counts
268 → 274
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 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.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 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 (/.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 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 (/.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 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)
(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 (fma.f64 -1 x -1) (/.f64 2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 x) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) (/.f64 2 x))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 -2 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.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 -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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.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)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 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 (*.f64 x x) (-.f64 1 x))
(fma.f64 x x (-.f64 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 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3))
(-.f64 1 (*.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.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 (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 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 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 4)))
(+.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 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.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 (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 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 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 4)))
(+.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 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))

eval199.0ms (1.8%)

Compiler

Compiled 6131 to 4937 computations (19.5% saved)

prune95.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New25915274
Fresh000
Picked011
Done000
Total25916275
Error
0.3b
Counts
275 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶26.9b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
32.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
▶31.7b
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶25.0b
(/.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))))
32.2b
(/.f64 2 (pow.f64 x 3))
36.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶25.6b
(/.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)))
31.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
25.9b
(+.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))))
31.8b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
41.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
30.1b
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))
✓10.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶31.3b
(/.f64 -2 x)
32.0b
(+.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)))))
Compiler

Compiled 548 to 437 computations (20.3% saved)

localize231.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 x -1))
✓0.0b
(fma.f64 (+.f64 x -1) -2 x)
✓0.1b
(*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1)))
✓16.2b
(fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x)))
Compiler

Compiled 90 to 64 computations (28.9% saved)

series49.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1)))
3.0ms
x
@-inf
(*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1)))
3.0ms
x
@-inf
(fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x)))
3.0ms
x
@0
(fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x)))
3.0ms
x
@inf
(fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x)))

rewrite295.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
560×log-prod_binary64
428×pow-prod-down_binary64
298×prod-diff_binary64
295×pow2_binary64
227×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01154
123354
2298953
Stop Event
1×node limit
Counts
4 → 151
Calls
Call 1
Inputs
(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)))
(fma.f64 (+.f64 x -1) -2 x)
(*.f64 x (+.f64 x -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (*.f64 x x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (neg.f64 x) 2)) (-.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 -1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 x))))))

simplify208.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
461×fma-neg_binary64
377×associate-*l*_binary64
338×cancel-sign-sub-inv_binary64
323×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013241
134205
278205
3182205
4538205
52206205
65872205
77375205
Stop Event
1×node limit
Counts
199 → 165
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
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))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
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)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))

localize6.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 28 computations (22.2% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓0.6b
(/.f64 1 (-.f64 1 (*.f64 x x)))
✓7.8b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓13.3b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
Compiler

Compiled 75 to 50 computations (33.3% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite210.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
550×fma-neg_binary64
363×log-div_binary64
304×expm1-udef_binary64
303×log1p-udef_binary64
248×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
136039
2559439
Stop Event
1×node limit
Counts
3 → 131
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(+.f64 (*.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 log1p.f64 (expm1.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 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify75.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
469×sub-neg_binary64
362×associate-*l*_binary64
311×fma-def_binary64
306×associate-*r*_binary64
295×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077609
1223580
2633575
31896575
45549569
Stop Event
1×node limit
Counts
167 → 173
Calls
Call 1
Inputs
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))))
(/.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
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 (-.f64 1 x) (*.f64 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 (-.f64 1 x) (*.f64 x x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.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 (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.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 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))))
(/.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 (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.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 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))))
(/.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))
(/.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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 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 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 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 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.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 (+.f64 1 (*.f64 x x)) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 (+.f64 1 (*.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 (fma.f64 x x 1) (pow.f64 x 6)))
(+.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(*.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 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.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 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.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 -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 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.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 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.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 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.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 -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 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))

localize84.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (/.f64 -2 x) 2)
✓2.2b
(-.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))
✓4.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓14.1b
(/.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)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
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))

rewrite124.0ms (1.1%)

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)) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) 2) (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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (*.f64 x x)))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x 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1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) 1 (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 4)) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 2) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (neg.f64 (/.f64 4 (*.f64 x x))))))))
((#(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 log1p.f64 (expm1.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))))))

simplify65.0ms (0.6%)

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)

eval894.0ms (8.1%)

Compiler

Compiled 33035 to 25611 computations (22.5% saved)

prune188.0ms (1.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New93517952
Fresh6410
Picked101
Done325
Total94523968
Error
0.3b
Counts
968 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
11.6b
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
▶25.6b
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
▶57.0b
(+.f64 1 (/.f64 -1 x))
31.0b
(+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
32.0b
(+.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)))))
36.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
31.3b
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
10.6b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
✓10.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶36.7b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
53.0b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
✓31.3b
(/.f64 -2 x)
30.7b
(/.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)))) (/.f64 4 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
27.9b
(/.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
32.2b
(/.f64 2 (pow.f64 x 3))
▶0.4b
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
33.9b
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
41.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
▶25.9b
(+.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))))
31.8b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
25.9b
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 894 to 702 computations (21.5% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (+.f64 x -1))
0.1b
(*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1)))
✓0.3b
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
469×log-prod_binary64
391×prod-exp_binary64
357×exp-prod_binary64
331×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120017
2265817
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 2) (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 (fma.f64 x -1 -1) (neg.f64 (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (fma.f64 x -1 -1)) (/.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 x (*.f64 (+.f64 x -1) (fma.f64 x -1 -1))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -1 -1) (/.f64 -2 (fma.f64 x x (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x -1 -1) (/.f64 -2 (fma.f64 x x (neg.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 x (*.f64 (+.f64 x -1) (fma.f64 x -1 -1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -1 -1) (/.f64 -2 (fma.f64 x x (neg.f64 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -2 (fma.f64 x -1 -1))) (*.f64 (log.f64 (fma.f64 x x (neg.f64 x))) 1)))))))

simplify58.0ms (0.5%)

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
49 → 51
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)))))

localize7.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓2.3b
(+.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
1.0ms
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)))

rewrite110.0ms (1%)

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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(2) ((x pow.f64 (/.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x 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(+.f64 (/.f64 -2 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))) 1))))) (#(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))))))))

simplify106.0ms (1%)

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)))))

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1))
✓2.2b
(+.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))))
✓13.9b
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
Compiler

Compiled 80 to 61 computations (23.8% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite129.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
558×fma-neg_binary64
322×log-div_binary64
261×expm1-udef_binary64
260×log1p-udef_binary64
207×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01463
132757
2547457
Stop Event
1×node limit
Counts
3 → 196
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 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 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (fma.f64 x 1/2 (-.f64 1 x))) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (/.f64 1 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (fma.f64 x 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 x -1/2)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x (*.f64 x -1/2)) (+.f64 x (*.f64 x -1/2))) (+.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x (*.f64 x -1/2)) (+.f64 x (*.f64 x -1/2)))) (+.f64 1 (+.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x -1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (-.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) -1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 x -1/2)) (-.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 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 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 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))) (*.f64 x -1/2))))))

simplify125.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
684×fma-neg_binary64
631×associate-/r*_binary64
615×fma-def_binary64
467×cancel-sign-sub-inv_binary64
381×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063455
1185442
2474439
31284438
43679438
Stop Event
1×node limit
Counts
232 → 229
Calls
Call 1
Inputs
(/.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))
(/.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 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) 1)
(*.f64 -1/2 x)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(*.f64 -1/2 x)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
Outputs
(/.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 (fma.f64 -1 (*.f64 x x) (neg.f64 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 (/.f64 -2 x) (fma.f64 x (-.f64 -1 x) -1))
(/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.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 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.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 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 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)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))
2.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
4.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓14.1b
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Compiler

Compiled 180 to 143 computations (20.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite94.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
269×add-sqr-sqrt_binary64
262×*-un-lft-identity_binary64
262×pow1_binary64
252×add-cbrt-cube_binary64
251×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02083
151035
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))
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 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 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 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (neg.f64 (*.f64 (/.f64 -2 x) 1))) (fma.f64 (/.f64 -2 x) 1 (*.f64 (/.f64 -2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (neg.f64 (*.f64 (/.f64 -2 x) 1))) (fma.f64 (/.f64 -2 x) 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x))) 1))))) (#(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 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(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 (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 (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)))))))

simplify69.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
631×associate-/r*_binary64
609×fma-def_binary64
482×fma-neg_binary64
384×associate-/l/_binary64
356×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060397
1174388
2440385
31149384
43111384
57871384
Stop Event
1×node limit
Counts
164 → 168
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 (/.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))) 1)
(/.f64 3 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))
(/.f64 3 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))
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 9)) (/.f64 2 (pow.f64 x 7)))))
(+.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 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.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 9)) (/.f64 2 (pow.f64 x 7)))))
(+.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 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x))) 1)
(+.f64 (fma.f64 -1 x (/.f64 2 x)) -1)
(+.f64 -1 (-.f64 (/.f64 2 x) x))
(+.f64 (/.f64 2 x) (-.f64 -1 x))
(-.f64 (-.f64 -1 x) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (/.f64 2 x))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 2 x) x) (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 2 x) (fma.f64 x x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (fma.f64 x x x)))
(-.f64 (/.f64 2 x) (+.f64 x (fma.f64 x x 1)))
(/.f64 3 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 3 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))

eval977.0ms (8.9%)

Compiler

Compiled 31508 to 24670 computations (21.7% saved)

prune176.0ms (1.6%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New97811989
Fresh11516
Picked101
Done336
Total993191012
Error
0.0b
Counts
1012 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.9b
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
42.0b
(+.f64 (/.f64 1 x) (/.f64 -1 x))
0.1b
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
31.4b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
10.6b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
▶41.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
6.4b
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
✓36.7b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
53.0b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
✓31.3b
(/.f64 -2 x)
57.0b
(+.f64 -1 (/.f64 -1 x))
▶56.5b
(/.f64 -1 x)
9.1b
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (fma.f64 -1 x -1)) x) (*.f64 (*.f64 x (fma.f64 -1 x -1)) -1)))
31.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
47.5b
(/.f64 1 (*.f64 x x))
32.2b
(/.f64 2 (pow.f64 x 3))
▶36.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
✓10.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶0.1b
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))
Compiler

Compiled 442 to 339 computations (23.3% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -2 (fma.f64 x -1 -1))
✓0.1b
(/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))
Compiler

Compiled 48 to 28 computations (41.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
890×pow1_binary64
830×add-log-exp_binary64
828×log1p-expm1-u_binary64
828×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119321
2257321
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))
(/.f64 -2 (fma.f64 x -1 -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 -1 (+.f64 x 1)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (+.f64 -1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 x)) (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) 2) (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) (sqrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (/.f64 -1 (+.f64 x 1)) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (/.f64 -2 (+.f64 -1 x)) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (hypot.f64 x (sqrt.f64 x))) (/.f64 (/.f64 -1 (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (/.f64 (/.f64 -2 (+.f64 -1 x)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) (*.f64 (+.f64 -1 x) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 -1 x)) 3) (pow.f64 (fma.f64 x x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 (+.f64 x 1) (fma.f64 x x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 -1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 -2 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) (sqrt.f64 (/.f64 -2 (+.f64 -1 x))))))) (#(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 pow.f64 (/.f64 -2 (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (+.f64 -1 x))))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
811×fma-def_binary64
772×fma-neg_binary64
600×cancel-sign-sub-inv_binary64
482×associate-/l*_binary64
230×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058399
1185387
2510386
31358376
43843372
Stop Event
1×node limit
Counts
80 → 84
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))))))
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 -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 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 (*.f64 -2 x) 2)
(fma.f64 -2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 (*.f64 -2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 2))
(fma.f64 x (fma.f64 x 2 -2) 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))
(+.f64 (fma.f64 -2 x 2) (*.f64 (*.f64 x x) (fma.f64 -2 x 2)))
(*.f64 (fma.f64 x x 1) (fma.f64 -2 x 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 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 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 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.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 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x 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 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 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 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.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 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓2.3b
(+.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))

rewrite62.0ms (0.6%)

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 log1p.f64 (expm1.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 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))))))

simplify58.0ms (0.5%)

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)))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
✓0.6b
(/.f64 1 (*.f64 x x))
✓2.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
Compiler

Compiled 47 to 29 computations (38.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite116.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
802×fma-def_binary64
522×log-prod_binary64
426×fma-neg_binary64
289×log-div_binary64
205×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
125833
2433233
Stop Event
1×node limit
Counts
3 → 284
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
Outputs
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(sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (neg.f64 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x))))))))

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
492×distribute-neg-frac_binary64
492×unswap-sqr_binary64
441×times-frac_binary64
370×associate-/l/_binary64
352×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033436
180435
2180435
3477435
41742435
55462435
Stop Event
1×node limit
Counts
320 → 300
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (/.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 6))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (/.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 6))))
(/.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))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x 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 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (/.f64 1 (*.f64 x x))) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 x) (+.f64 x (/.f64 -1 (*.f64 x x)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(-.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 6))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 6)))) (/.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 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.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 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(-.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 6))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 6)))) (/.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 (pow.f64 x 6)))))
(/.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))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x 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 (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 (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 -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 (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 (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 -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 (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 (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))

localize75.0ms (0.7%)

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))
✓0.3b
(/.f64 8 (pow.f64 x 4))
✓3.7b
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
4.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 81 to 64 computations (21% saved)

series14.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
2.0ms
x
@0
(/.f64 8 (pow.f64 x 4))
1.0ms
x
@-inf
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
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)))
1.0ms
x
@inf
(/.f64 8 (pow.f64 x 4))

rewrite170.0ms (1.5%)

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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-1) -1/2) (sqrt.f64 (/.f64 -2 x))) (-.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (exp.f64 (neg.f64 (log1p.f64 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))) (fma.f64 (/.f64 2 x) 1 (/.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))) (fma.f64 (neg.f64 (/.f64 1 x)) -2 (/.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))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 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-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))))))

simplify77.0ms (0.7%)

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))))

eval784.0ms (7.1%)

Compiler

Compiled 19908 to 14573 computations (26.8% saved)

prune206.0ms (1.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New8459854
Fresh7411
Picked101
Done257
Total85518873
Error
0b
Counts
873 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(/.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 x))
31.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
40.3b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
47.5b
(/.f64 -1 (*.f64 x x))
✓41.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
6.4b
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
✓36.7b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓31.3b
(/.f64 -2 x)
0.1b
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 x))))
✓56.5b
(/.f64 -1 x)
32.2b
(/.f64 2 (pow.f64 x 3))
31.7b
(+.f64 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
41.9b
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
42.0b
(+.f64 (/.f64 1 x) (/.f64 -1 x))
47.5b
(/.f64 1 (*.f64 x x))
10.6b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓10.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
33.6b
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Compiler

Compiled 222 to 170 computations (23.4% saved)

regimes113.0ms (1%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 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)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (fma.f64 -1 x -1)) x) (*.f64 (*.f64 x (fma.f64 -1 x -1)) -1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 (/.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 (cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3)) (-.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 (/.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 (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 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))
Calls

2 calls:

59.0ms
x
31.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 884 to 663 computations (25% saved)

regimes133.0ms (1.2%)

Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 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)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
Outputs
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
Calls

2 calls:

72.0ms
x
14.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 699 to 520 computations (25.6% saved)

regimes96.0ms (0.9%)

Counts
44 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 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)))
Outputs
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 x))))
Calls

2 calls:

63.0ms
x
16.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 685 to 512 computations (25.3% saved)

regimes52.0ms (0.5%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Outputs
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Calls

2 calls:

21.0ms
x
16.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 573 to 422 computations (26.4% saved)

regimes127.0ms (1.2%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
Outputs
(+.f64 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))))
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
Calls

2 calls:

73.0ms
x
39.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b2x
0.2b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 561 to 413 computations (26.4% saved)

bsearch71.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
71.0ms
-1.0910662012536967e+63
-6.791179134884472e+60
Compiler

Compiled 20 to 16 computations (20% saved)

regimes117.0ms (1.1%)

Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.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))
Outputs
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(/.f64 2 (pow.f64 x 3))
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
Calls

2 calls:

63.0ms
x
40.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.3b2x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 550 to 407 computations (26% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
9.302233882008473e-8
0.0ms
-9.926167350636332e-24
-1.6155871338926322e-27
Compiler

Compiled 20 to 16 computations (20% saved)

regimes77.0ms (0.7%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.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 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1))))
(/.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)))) (/.f64 4 (*.f64 x x))) (-.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)))) (/.f64 (/.f64 4 x) x)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
Outputs
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))
Calls

2 calls:

30.0ms
x
10.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b2x
6.4b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 521 to 384 computations (26.3% saved)

bsearch67.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
67.0ms
-6.577260038621995e+105
-1.0201005576351028e+99
Compiler

Compiled 20 to 16 computations (20% saved)

regimes32.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 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)))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Calls

2 calls:

14.0ms
x
11.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
10.6b1x
10.6b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 244 to 180 computations (26.2% saved)

regimes22.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
Outputs
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
10.6b1x
Compiler

Compiled 198 to 143 computations (27.8% saved)

regimes51.0ms (0.5%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
Outputs
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
11.6b1x
Compiler

Compiled 153 to 111 computations (27.5% saved)

regimes20.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(+.f64 1 (/.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
11.6b3x
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.10170565312564367
278.0670007808644
22.0ms
-707.7274072453035
-1.905508539751489e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes25.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 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:

23.0ms
x
Results
ErrorSegmentsBranch
16.8b3x
Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.10170565312564367
278.0670007808644
21.0ms
-707.7274072453035
-1.905508539751489e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes17.0ms (0.2%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
17.1b3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.10170565312564367
278.0670007808644
20.0ms
-707.7274072453035
-1.905508539751489e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -25.2b remaining (-80.4%)

Threshold costs -25.2b (-80.4%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.3b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
14×*-commutative_binary64
8×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081429
1117421
2140421
3160413
4168413
5170413
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 x))))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
(if (<=.f64 x -1091066201253696748735531168027748222916411986653637443135209472) (+.f64 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x)))) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -6805647338418769/1361129467683753853853498429727072845824) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))))
(if (<=.f64 x -6577260038621995362617629321986016175405910321955183064788326689346669993032677525926670095146023634599936) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(if (<=.f64 x -3112618054247887/4398046511104) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -3112618054247887/4398046511104) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -3112618054247887/4398046511104) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (/.f64 -1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Outputs
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x))))
(/.f64 (/.f64 -2 (fma.f64 x -1 -1)) (fma.f64 x x (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)) -2)
(*.f64 -2 (/.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) (fma.f64 x -1 -1)))
(+.f64 0 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 -1 x))))
(*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -2 (+.f64 x -1)))
(/.f64 -2 (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
(if (<=.f64 x -1091066201253696748735531168027748222916411986653637443135209472) (+.f64 0 (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x)))) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))))
(if (<=.f64 x -1091066201253696748735531168027748222916411986653637443135209472) (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 -2 (+.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 (neg.f64 x) (+.f64 x -1)))))
(if (<=.f64 x -1091066201253696748735531168027748222916411986653637443135209472) (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 -2 (-.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 x (+.f64 x -1)))))
(if (<=.f64 x -1091066201253696748735531168027748222916411986653637443135209472) (/.f64 (/.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 -2 (-.f64 (*.f64 x (-.f64 1 x)) (*.f64 x (*.f64 x (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -6805647338418769/1361129467683753853853498429727072845824) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -6805647338418769/1361129467683753853853498429727072845824) (/.f64 -2 (+.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 (neg.f64 x) (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 0) (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (+.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 (neg.f64 x) (+.f64 x -1))))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -6805647338418769/1361129467683753853853498429727072845824) (/.f64 -2 (-.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 x (+.f64 x -1)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (-.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 x (+.f64 x -1))))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -6805647338418769/1361129467683753853853498429727072845824) (/.f64 -2 (-.f64 (*.f64 x (-.f64 1 x)) (*.f64 x (*.f64 x (+.f64 x -1))))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (-.f64 (*.f64 x (-.f64 1 x)) (*.f64 x (*.f64 x (+.f64 x -1)))))))
(if (<=.f64 x -6577260038621995362617629321986016175405910321955183064788326689346669993032677525926670095146023634599936) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 -2 (+.f64 (*.f64 (*.f64 x (+.f64 -1 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (+.f64 -1 x)))))
(if (<=.f64 x -6577260038621995362617629321986016175405910321955183064788326689346669993032677525926670095146023634599936) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 -2 (+.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 (neg.f64 x) (+.f64 x -1)))))
(if (<=.f64 x -6577260038621995362617629321986016175405910321955183064788326689346669993032677525926670095146023634599936) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 -2 (-.f64 (*.f64 (neg.f64 x) (*.f64 x (+.f64 x -1))) (*.f64 x (+.f64 x -1)))))
(if (<=.f64 x -6577260038621995362617629321986016175405910321955183064788326689346669993032677525926670095146023634599936) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 -2 (-.f64 (*.f64 x (-.f64 1 x)) (*.f64 x (*.f64 x (+.f64 x -1))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (-.f64 -1 (/.f64 2 x)))
(if (<=.f64 x -3112618054247887/4398046511104) (+.f64 (/.f64 1 x) (/.f64 -1 x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))))
(if (<=.f64 x -3112618054247887/4398046511104) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -3112618054247887/4398046511104) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1832166166072487/18014398509481984) (/.f64 -2 x) (/.f64 -1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Compiler

Compiled 300 to 218 computations (27.3% saved)

soundness41.0ms (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)

end220.0ms (2%)

Compiler

Compiled 286 to 199 computations (30.4% saved)

Profiling

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