Details

Time bar (total: 9.4s)

analyze7.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
75%75%25%0%0%0%0%5
87.5%87.5%12.5%0%0%0%0%6
93.8%93.7%6.2%0%0%0%0%7
96.9%96.8%3.1%0%0%0%0%8
98.4%98.4%1.6%0%0%0%0%9
99.2%99.2%0.8%0%0%0%0%10
99.6%99.6%0.4%0%0%0%0%11
99.8%99.8%0.2%0%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.5s (15.6%)

Results
761.0ms5342×body256valid
382.0ms1332×body1024valid
316.0ms1582×body512valid
0.0ms1×body256infinite
Bogosity

preprocess35.0ms (0.4%)

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)

simplify35.0ms (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
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
12.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x -1))
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓3.0b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

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

rewrite161.0ms (1.7%)

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 1 x))
(/.f64 1 (+.f64 x -1))
Outputs
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(2) ((x fma.f64 -1 (/.f64 1 (-.f64 1 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 -2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))))
((#(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 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 log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))

simplify192.0ms (2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
076755
1231730
2644719
31936716
45432713
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 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))))
-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))))
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 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 -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 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.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 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 -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 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.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 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.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 (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 (/.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 -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 (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 (/.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 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
-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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.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 (pow.f64 x 3)) (/.f64 -1 (*.f64 x 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 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.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 (pow.f64 x 3)) (/.f64 -1 (*.f64 x 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 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.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)))))

eval439.0ms (4.7%)

Compiler

Compiled 6131 to 4937 computations (19.5% saved)

prune183.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New26014274
Fresh000
Picked011
Done000
Total26015275
Error
0.7b
Counts
275 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.3b
(/.f64 -2 x)
26.7b
(+.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))))
▶12.1b
(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
▶27.6b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶32.0b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
33.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
▶33.7b
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
30.6b
(/.f64 2 (pow.f64 x 3))
36.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
36.5b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓12.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
33.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
30.4b
(+.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)))))
Compiler

Compiled 428 to 345 computations (19.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(/.f64 1 (+.f64 1 x))
✓2.1b
(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓2.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 51 to 40 computations (21.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
562×log-prod_binary64
477×fma-def_binary64
337×pow2_binary64
254×fma-neg_binary64
231×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
127538
2396738
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 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simplify66.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
774×times-frac_binary64
693×fma-def_binary64
469×associate-/l*_binary64
342×associate-*l*_binary64
302×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050412
1159404
2445402
31162399
42385399
54657399
Stop Event
1×node limit
Counts
122 → 126
Calls
Call 1
Inputs
(*.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 -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 (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 (fma.f64 x (fma.f64 x x 1) (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 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (pow.f64 x 7))))
(*.f64 -2 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 7)) (+.f64 x (pow.f64 x 5))))
(*.f64 -2 (+.f64 (pow.f64 x 7) (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))
(/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 x)) (/.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 (/.f64 2 (pow.f64 x 7)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))
(/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 x)) (/.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 (/.f64 2 (pow.f64 x 7)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))))
(/.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 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 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 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.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 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 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 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize38.0ms (0.4%)

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)

localize179.0ms (1.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓0.5b
(/.f64 1 (-.f64 1 (*.f64 x x)))
✓9.5b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓12.2b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
Compiler

Compiled 75 to 50 computations (33.3% saved)

series4.0ms (0%)

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

rewrite121.0ms (1.3%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x 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 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) -1) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.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 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(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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simplify65.0ms (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)))))

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
0.5b
(/.f64 1 (-.f64 1 (*.f64 x x)))
✓32.0b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 63 to 42 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01429
132728
2476428
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 1) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 -1 (-.f64 1 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 -2 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 3) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 3)) (fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2)) (-.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))

simplify50.0ms (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
43 → 45
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)))))

eval959.0ms (10.2%)

Compiler

Compiled 18285 to 13974 computations (23.6% saved)

prune244.0ms (2.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New77912791
Fresh369
Picked011
Done235
Total78422806
Error
0.7b
Counts
806 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
✓33.3b
(/.f64 -2 x)
▶26.7b
(+.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))))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓27.6b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓32.0b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
36.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶57.3b
(+.f64 1 (/.f64 -1 x))
52.0b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
✓12.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶12.1b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
26.8b
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
33.7b
(/.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)))
13.1b
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
32.9b
(+.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)))
▶30.6b
(/.f64 2 (pow.f64 x 3))
36.5b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
19.2b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
▶33.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
33.3b
(/.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))))
30.4b
(+.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)))))
Compiler

Compiled 729 to 567 computations (22.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(/.f64 1 (+.f64 1 x))
✓2.1b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
2.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 50 to 39 computations (22% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite192.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
761×fma-def_binary64
608×log-prod_binary64
395×fma-neg_binary64
328×log-div_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
128922
2463622
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Outputs
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(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 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 (+.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 (/.f64 -2 x) (/.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 (/.f64 1 (+.f64 x -1)) (/.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 (/.f64 1 (+.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 (/.f64 1 (+.f64 x 1)) (/.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 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (hypot.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 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (+.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 (/.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 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (fma.f64 x x -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (/.f64 -2 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 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (/.f64 -2 x))) (/.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 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))) (#(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 (/.f64 -2 x) (/.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 (/.f64 1 (+.f64 x -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 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))))

simplify54.0ms (0.6%)

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
114 → 116
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)))))

localize6.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 25 computations (21.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
878×prod-diff_binary64
470×log-prod_binary64
447×fma-def_binary64
244×fma-neg_binary64
199×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
123216
2332616
Stop Event
1×node limit
Counts
1 → 80
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) (sqrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (/.f64 1 (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) 1) (-.f64 (sqrt.f64 (/.f64 -2 x)) 1) (exp.f64 (neg.f64 (log1p.f64 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 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 -1 (/.f64 -2 x)))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
772×fma-neg_binary64
524×cancel-sign-sub-inv_binary64
461×associate-*l*_binary64
371×sub-neg_binary64
367×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027154
183141
2227137
3689137
42278135
56867135
Stop Event
1×node limit
Counts
92 → 94
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x))
(fma.f64 x -1 (fma.f64 x x (/.f64 -2 x)))
(-.f64 (fma.f64 x x (/.f64 -2 x)) x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 x (*.f64 x x))) (/.f64 2 x))
(+.f64 (-.f64 (neg.f64 (pow.f64 x 3)) x) (fma.f64 x x (/.f64 -2 x)))
(-.f64 (-.f64 (fma.f64 x x (/.f64 -2 x)) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (*.f64 x x)) (-.f64 (/.f64 -2 x) x))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) (/.f64 -2 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (-.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (-.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(*.f64 (*.f64 x -1/2) (-.f64 1 x))
✓1.6b
(+.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))))
✓12.9b
(/.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)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (*.f64 x -1/2) (-.f64 1 x))
1.0ms
x
@inf
(*.f64 (*.f64 x -1/2) (-.f64 1 x))
1.0ms
x
@0
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
1.0ms
x
@-inf
(*.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))))

rewrite108.0ms (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
132759
2547459
Stop Event
1×node limit
Counts
3 → 160
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 x -1/2) (-.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) (/.f64 1 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) (/.f64 1 (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) 2) (+.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)) (/.f64 1 (+.f64 1 x))) 1)))) 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-2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2))) (/.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 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (*.f64 x -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 x -1/2)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x -1/2)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))))))))

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
678×fma-neg_binary64
628×associate-/r*_binary64
623×fma-def_binary64
466×cancel-sign-sub-inv_binary64
388×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064518
1188505
2482493
31312474
43759474
Stop Event
1×node limit
Counts
196 → 193
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))))))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(-.f64 -1 (/.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 (/.f64 -2 x) (-.f64 -1 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 -1 (/.f64 2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.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 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(-.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 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.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 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.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 x))))
(-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.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 (/.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 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(-.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 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.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 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.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 x))))
(-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x 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 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 (/.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 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 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) 1/2))
(*.f64 x (+.f64 (*.f64 x 1/2) -1/2))
(*.f64 x (fma.f64 x 1/2 -1/2))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
0.0ms
x
@inf
(/.f64 2 (pow.f64 x 3))
0.0ms
x
@-inf
(/.f64 2 (pow.f64 x 3))

rewrite51.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval841.0ms (8.9%)

Compiler

Compiled 15509 to 12003 computations (22.6% saved)

prune186.0ms (2%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New65912671
Fresh31013
Picked101
Done268
Total66528693
Error
0b
Counts
693 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.3b
(/.f64 -2 x)
✓26.7b
(+.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))))
33.9b
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
32.9b
(+.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)))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
25.7b
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))
✓32.0b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
36.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
✓57.3b
(+.f64 1 (/.f64 -1 x))
52.0b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
30.3b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
▶36.6b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
✓12.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
41.5b
(+.f64 (/.f64 -2 x) (/.f64 2 x))
✓12.1b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
26.8b
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶29.9b
(*.f64 (pow.f64 x -3) 2)
▶19.2b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
33.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) (/.f64 (+.f64 x (*.f64 x -1/2)) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))
▶57.2b
(+.f64 -1 (/.f64 -1 x))
61.9b
-1
33.3b
(/.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))))
▶56.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2))))
34.2b
(-.f64 (/.f64 -2 x) x)
30.4b
(+.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)))))
36.5b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
41.8b
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
33.7b
(/.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)))
Compiler

Compiled 849 to 647 computations (23.8% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x -1/2) (-.f64 1 x))
0.5b
(/.f64 1 (-.f64 1 (*.f64 x x)))
12.9b
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
✓32.1b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
Compiler

Compiled 92 to 64 computations (30.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
799×log-prod_binary64
575×fma-def_binary64
280×fma-neg_binary64
269×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01538
134035
2511635
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 1) (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 3) (pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) 3)) (fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) 2) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) 2)) (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (exp.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2)))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) x) (+.f64 -1/2 (*.f64 x -1/2))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))

simplify55.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

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

localize5.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
✓0.0b
(+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))
✓4.5b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
Compiler

Compiled 41 to 31 computations (24.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite148.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
700×fma-def_binary64
546×log-prod_binary64
376×fma-neg_binary64
282×log-div_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
125929
2405627
Stop Event
1×node limit
Counts
2 → 169
Calls
Call 1
Inputs
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)) (*.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 2)) (/.f64 1 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)) (*.f64 4 (pow.f64 x -2))) (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) (-.f64 (*.f64 4 (pow.f64 x -2)) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 3)) (fma.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)) (*.f64 4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8 (pow.f64 x -3) (pow.f64 (+.f64 (/.f64 1 x) 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x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 (/.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 (/.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x -1 1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x -1 1) (neg.f64 x)) (*.f64 x (fma.f64 x -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (fma.f64 x -1 1) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (fma.f64 x -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1 (*.f64 (fma.f64 x -1 1) 1)) (*.f64 (fma.f64 x -1 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1 (*.f64 (+.f64 x -1) -1)) (*.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (fma.f64 x -1 1) -1)) (*.f64 (fma.f64 x -1 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 x -2)) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 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x) (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 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 1 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 1 (+.f64 x -1)))) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 x -1 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.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 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 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 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 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 1 (+.f64 x -1)))))) (#(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 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 1 x))))))

simplify71.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
603×fma-neg_binary64
601×fma-def_binary64
499×associate-*l*_binary64
399×associate-*r*_binary64
359×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039388
1105377
2262374
3715374
42156374
56300374
Stop Event
1×node limit
Counts
193 → 198
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (/.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (/.f64 1 x))) 1)
(/.f64 2 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.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 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.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 2 (/.f64 1 x)))))
Outputs
(/.f64 -1 x)
(neg.f64 (+.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 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(+.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 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(+.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 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 x) (/.f64 1 x)) 1)
(+.f64 (fma.f64 -1 x (/.f64 1 x)) -1)
(+.f64 -1 (-.f64 (/.f64 1 x) x))
(-.f64 (/.f64 1 x) (+.f64 x 1))
(+.f64 (/.f64 1 x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (/.f64 1 x))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (/.f64 1 x))) -1)
(+.f64 -1 (fma.f64 -1 (fma.f64 x x x) (/.f64 1 x)))
(+.f64 -1 (-.f64 (/.f64 1 x) (fma.f64 x x x)))
(/.f64 2 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 2 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 2 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1))
0.0b
(/.f64 1 (+.f64 1 x))
✓4.4b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2))))
✓13.0b
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2)))
Compiler

Compiled 78 to 58 computations (25.6% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2)))
1.0ms
x
@inf
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2)))
1.0ms
x
@-inf
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2)))
0.0ms
x
@-inf
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2))))
0.0ms
x
@inf
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2))))

rewrite110.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
593×fma-neg_binary64
320×log-div_binary64
266×expm1-udef_binary64
265×log1p-udef_binary64
212×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
136848
2558148
Stop Event
1×node limit
Counts
3 → 201
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 x (*.f64 x 1/2))))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1))
Outputs
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(+.f64 1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2) (/.f64 1 (+.f64 1 (*.f64 x -1/2))))))) (#(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 (+.f64 1 (*.f64 x -1/2)) 2) (*.f64 (-.f64 1 x) (*.f64 x -1/2))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x -1/2)) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2) (*.f64 (-.f64 1 x) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2) (+.f64 1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2)) (neg.f64 (+.f64 1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) (+.f64 1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x -1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 x -1/2)))))))) (#(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 (exp.f64 (-.f64 1 x)) (/.f64 (exp.f64 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))) (/.f64 (exp.f64 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 (exp.f64 (-.f64 1 x)) (/.f64 (exp.f64 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))) (/.f64 (exp.f64 x) (pow.f64 (exp.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 (/.f64 (exp.f64 x) (pow.f64 (exp.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 log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) -1/2)) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 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 (+.f64 1 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x -1/2))))))) (#(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 -1 (*.f64 x -1/2) (-.f64 1 x))))) (#(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 1/2 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (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 (-.f64 (*.f64 x x) x)) (*.f64 x -1/2))))))

simplify95.0ms (1%)

Algorithm
1×egg-herbie
Rules
556×fma-neg_binary64
545×associate-/r*_binary64
434×associate-/r/_binary64
420×associate-*l*_binary64
356×distribute-neg-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035406
184405
2171405
3425405
41226405
55126397
Stop Event
1×node limit
Counts
237 → 224
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(/.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
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 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(/.f64 -1 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (/.f64 2 (*.f64 x x))) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 2 (*.f64 x x)) x) (/.f64 -1 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -1 x) (-.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (-.f64 (/.f64 -1 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 (/.f64 1 (pow.f64 x 2)) (/.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 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.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))))
(fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.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 (/.f64 1 (pow.f64 x 2)) (/.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 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.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))))
(fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 5)))
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)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 x -3) 2)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 x -3) 2)
0.0ms
x
@inf
(*.f64 (pow.f64 x -3) 2)
0.0ms
x
@-inf
(*.f64 (pow.f64 x -3) 2)

rewrite61.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11267
213457
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -3) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -3) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -3) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -3) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -3) 2)))))))

simplify168.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
474×fabs-mul_binary64
456×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11384
22484
33984
47484
521484
677184
7224484
8233284
9246584
10262384
11288284
12321084
13363484
14413584
15473784
16545984
17578284
18606884
19629084
20646884
21655284
22749284
Stop Event
1×node limit
Counts
23 → 12
Calls
Call 1
Inputs
(/.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 2 (pow.f64 x 3))
(/.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 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
Outputs
(/.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 2 (pow.f64 x 3))
(/.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 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))

eval799.0ms (8.5%)

Compiler

Compiled 17076 to 12743 computations (25.4% saved)

prune114.0ms (1.2%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New6917698
Fresh41317
Picked011
Done2810
Total69729726
Error
0b
Counts
726 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
48.5b
(/.f64 1 (*.f64 x x))
✓33.3b
(/.f64 -2 x)
✓26.7b
(+.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))))
33.9b
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
32.9b
(+.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)))
53.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 x -1/2) (*.f64 x (*.f64 x 1/2))))
30.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
56.8b
(/.f64 -1 x)
25.7b
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))
✓32.0b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
36.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
52.0b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
30.3b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
✓36.6b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
✓12.1b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
41.5b
(+.f64 (/.f64 -2 x) (/.f64 2 x))
✓12.1b
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
61.4b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 x) x))
✓29.9b
(*.f64 (pow.f64 x -3) 2)
✓19.2b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
41.8b
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
56.0b
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2))) (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2)))))
57.0b
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (*.f64 x -1/2)) 1/2)))
✓57.2b
(+.f64 -1 (/.f64 -1 x))
61.9b
-1
33.3b
(/.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))))
30.4b
(+.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)))))
33.7b
(/.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)))
34.2b
(-.f64 (/.f64 -2 x) x)
Compiler

Compiled 467 to 355 computations (24% saved)

regimes151.0ms (1.6%)

Counts
47 → 3
Calls
Call 1
Inputs
-1
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(+.f64 (/.f64 -2 x) (/.f64 2 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 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 x -1/2) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (*.f64 x -1/2)) 1/2)))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x 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 x (*.f64 x 1/2))))
(+.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 1 (+.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) (/.f64 (+.f64 x (*.f64 x -1/2)) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2))) (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2)))))
(/.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 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))
(+.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 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 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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
Outputs
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))
(*.f64 (pow.f64 x -3) 2)
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))
Calls

3 calls:

64.0ms
x
34.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 738 to 553 computations (25.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.604492750221166e-13
0.0ms
-7.375307016152521e-8
-1.9721522630525295e-31
Compiler

Compiled 20 to 16 computations (20% saved)

regimes133.0ms (1.4%)

Counts
42 → 3
Calls
Call 1
Inputs
-1
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(+.f64 (/.f64 -2 x) (/.f64 2 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 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 x -1/2) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (*.f64 x -1/2)) 1/2)))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x 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 x (*.f64 x 1/2))))
(+.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 1 (+.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) (/.f64 (+.f64 x (*.f64 x -1/2)) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2))) (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2)))))
(/.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 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(*.f64 (pow.f64 x -3) 2)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Calls

3 calls:

57.0ms
x
31.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
29.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 627 to 465 computations (25.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.604492750221166e-13
0.0ms
-7.375307016152521e-8
-1.9721522630525295e-31
Compiler

Compiled 20 to 16 computations (20% saved)

regimes149.0ms (1.6%)

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

3 calls:

81.0ms
x
26.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
25.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b3x
0.2b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.2b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 571 to 422 computations (26.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.604492750221166e-13
0.0ms
-7.375307016152521e-8
-1.9721522630525295e-31
Compiler

Compiled 20 to 16 computations (20% saved)

regimes144.0ms (1.5%)

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

3 calls:

52.0ms
x
33.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b3x
0.2b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.2b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 551 to 408 computations (26% saved)

bsearch56.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.18272945101415392
14467.611737854986
21.0ms
-118879314380155.3
-300.43572099897824
Compiler

Compiled 20 to 16 computations (20% saved)

regimes60.0ms (0.6%)

Counts
34 → 1
Calls
Call 1
Inputs
-1
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 1 (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(+.f64 (/.f64 -2 x) (/.f64 2 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 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 x -1/2) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 (*.f64 x -1/2)) 1/2)))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x 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 x (*.f64 x 1/2))))
(+.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 1 (+.f64 1 x)) (-.f64 (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) (/.f64 (+.f64 x (*.f64 x -1/2)) (*.f64 x (+.f64 -1/2 (*.f64 x -1/2))))))
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2))) (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 x -1/2)))))
(/.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)))
Outputs
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Calls

3 calls:

24.0ms
x
12.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
10.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
12.1b1x
12.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
12.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 525 to 387 computations (26.3% saved)

regimes18.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
13.1b1x
Compiler

Compiled 180 to 133 computations (26.1% saved)

regimes20.0ms (0.2%)

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

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
12.7b3x
Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.18272945101415392
14467.611737854986
21.0ms
-300.43572099897824
-2.4234577709657085e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes19.0ms (0.2%)

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

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
19.6b3x
Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.18272945101415392
14467.611737854986
21.0ms
-300.43572099897824
-2.4234577709657085e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes16.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
19.9b3x
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch43.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.18272945101415392
14467.611737854986
23.0ms
-300.43572099897824
-2.4234577709657085e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
-1
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
(+.f64 -1 (/.f64 -1 x))
Outputs
(/.f64 1 (*.f64 x x))
(/.f64 -2 x)
(/.f64 1 (*.f64 x x))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
19.9b3x
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.18272945101415392
14467.611737854986
21.0ms
-300.43572099897824
-2.4234577709657085e-5
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
33.3b1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Accuracy

Total -5.2b remaining (-9.2%)

Threshold costs -5.2b (-9.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
56.8b1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
23×+-commutative_binary64
11×*-commutative_binary64
10×sub-neg_binary64
7×unsub-neg_binary64
6×neg-sub0_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076606
1110605
2124603
3148603
4156603
5159603
6160603
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 x -7608276120329939/64) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (*.f64 (pow.f64 x -3) 2)))
(+.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 -1321330274550571/4398046511104) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (-.f64 (/.f64 -2 x) x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
-1
Outputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (fma.f64 x x -1)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 1 x) (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (*.f64 x -1/2))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 1 x) (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (*.f64 x -1/2)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 1 x) (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (*.f64 x -1/2))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 1 x) (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (*.f64 x -1/2)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 -1 (*.f64 x -1/2))) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (neg.f64 (*.f64 x -1/2))) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 x 1/2)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -944473296573929/18889465931478580854784) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -3) 2) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -944473296573929/18889465931478580854784) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 2 (pow.f64 x -3)) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))
(if (<=.f64 x -7608276120329939/64) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (*.f64 (pow.f64 x -3) 2)))
(if (<=.f64 x -7608276120329939/64) (*.f64 2 (pow.f64 x -3)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (*.f64 2 (pow.f64 x -3))))
(+.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 -1321330274550571/4398046511104) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -1321330274550571/4398046511104) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (+.f64 (/.f64 2 x) (/.f64 -2 x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (-.f64 (/.f64 -2 x) x) (/.f64 1 (*.f64 x x))))
(if (<=.f64 x -1321330274550571/4398046511104) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 6583522299975671/36028797018963968) (/.f64 -2 x) (/.f64 1 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
-1
Compiler

Compiled 427 to 322 computations (24.6% saved)

soundness74.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
127×fma-neg_binary64
127×fma-neg_binary64
82×fma-def_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 298 to 244 computations (18.1% saved)

end198.0ms (2.1%)

Compiler

Compiled 415 to 306 computations (26.3% saved)

Profiling

Loading profile data...