Details

Time bar (total: 5.9s)

analyze242.0ms (4.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
43.7%56.2%0.1%7
50%50%0.1%8
67.1%32.8%0.1%9
71.8%28.1%0.1%10
82.3%17.6%0.1%11
85.1%14.8%0.1%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.5s (25.3%)

Results
963.0ms6925×body256valid
284.0ms637×body1024valid
224.0ms686×body512valid
3.0ms8×body2048valid

preprocess63.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
1040×fma-neg_binary64
720×times-frac_binary64
361×associate-/l*_binary64
324×unsub-neg_binary64
291×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
27932
320328
464828
5198128
6467228
7621128
8726728
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1)))
Outputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))
(-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))
(fma.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y 1)
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1)
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1)))
(-.f64 1 (/.f64 (-.f64 1 y) (/.f64 (+.f64 1 x) x)))
(-.f64 1 (*.f64 (/.f64 (-.f64 1 y) (+.f64 1 x)) x))
(-.f64 1 (*.f64 (/.f64 x (+.f64 1 x)) (-.f64 1 y)))
(fma.f64 (/.f64 (+.f64 y -1) (+.f64 1 x)) x 1)
(fma.f64 x (/.f64 (+.f64 y -1) (+.f64 1 x)) 1)
(fma.f64 x (/.f64 (-.f64 1 y) (-.f64 -1 x)) 1)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
816×div-sub_binary64
777×fma-def_binary64
611×fma-neg_binary64
431×sub-neg_binary64
314×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0916
11916
24316
311114
432614
589314
6237814
7363814
8531914
9705614
10789314
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Outputs
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))
(-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))
(fma.f64 (/.f64 (-.f64 x 1) (+.f64 1 y)) y 1)
(fma.f64 y (/.f64 (-.f64 x 1) (+.f64 1 y)) 1)
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1)
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
12.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.0b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
▶22.0b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Compiler

Compiled 25 to 19 computations (24% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
9.4b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
4.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b
(*.f64 (-.f64 1 x) y)
✓0.0b
(*.f64 (-.f64 1 x) y)
✓4.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
✓9.4b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

series12.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite76.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
676×prod-diff_binary64
549×log-prod_binary64
292×fma-def_binary64
286×pow2_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
120836
2312136
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(*.f64 (-.f64 1 x) y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))) (#(struct:change #<rule 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x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3)) (fma.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2)) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3))) (neg.f64 (fma.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2))) (neg.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2) (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2)) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) y) (neg.f64 (/.f64 1 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) (neg.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
640×sub-neg_binary64
568×times-frac_binary64
418×associate-+l+_binary64
375×fma-neg_binary64
309×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881131
12801078
2917998
34058894
Stop Event
1×node limit
Counts
212 → 191
Calls
Call 1
Inputs
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
Outputs
(/.f64 y (+.f64 1 y))
(/.f64 y (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)))
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (-.f64 x 1)))
(fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (+.f64 -1 x)))
(*.f64 y (+.f64 (-.f64 1 x) (fma.f64 y x (neg.f64 y))))
(*.f64 (fma.f64 y x (neg.f64 y)) (+.f64 y -1))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (-.f64 x 1))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (*.f64 y (fma.f64 y x (neg.f64 y))))
(*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (neg.f64 (+.f64 y (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 (pow.f64 y 4) (*.f64 y y)))))
(+.f64 (*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y)))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (*.f64 (+.f64 -1 x) (fma.f64 y y (pow.f64 y 4))))
(*.f64 (fma.f64 y y 1) (*.f64 (fma.f64 y x (neg.f64 y)) (+.f64 y -1)))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(+.f64 1 (-.f64 (/.f64 x y) (+.f64 x (/.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y))))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (-.f64 (/.f64 (+.f64 -1 x) y) x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 x y) (/.f64 (+.f64 -1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(+.f64 1 (-.f64 (/.f64 x y) (+.f64 x (/.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y))))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (-.f64 (/.f64 (+.f64 -1 x) y) x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 -1 y) -1))) x)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 1 (pow.f64 y 3))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 x y) (/.f64 (+.f64 -1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 x (/.f64 1 y)))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 y) x))))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (/.f64 y (+.f64 y 1))))
(+.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (-.f64 1 (/.f64 y (+.f64 y 1))))
(-.f64 (fma.f64 (/.f64 y (+.f64 y 1)) x 1) (/.f64 y (+.f64 y 1)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(fma.f64 y (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 1 (fma.f64 y (-.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (fma.f64 y (+.f64 -1 x) (*.f64 y (*.f64 y (-.f64 1 x)))))
(fma.f64 y (+.f64 -1 x) (fma.f64 (-.f64 1 x) (*.f64 y y) 1))
(+.f64 1 (*.f64 y (*.f64 (-.f64 1 x) (+.f64 y -1))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))))
(fma.f64 (pow.f64 y 3) (-.f64 x 1) (+.f64 1 (fma.f64 y (-.f64 x 1) (*.f64 (-.f64 1 x) (*.f64 y y)))))
(+.f64 (fma.f64 y (+.f64 -1 x) (*.f64 y (*.f64 y (-.f64 1 x)))) (fma.f64 (+.f64 -1 x) (pow.f64 y 3) 1))
(fma.f64 (+.f64 -1 x) (pow.f64 y 3) (fma.f64 y (+.f64 -1 x) (fma.f64 (-.f64 1 x) (*.f64 y y) 1)))
(+.f64 1 (*.f64 y (+.f64 (+.f64 -1 x) (*.f64 (fma.f64 y x (neg.f64 y)) (+.f64 y -1)))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))
(+.f64 (+.f64 x (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (-.f64 (/.f64 1 y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 -1 x) y))
(+.f64 (+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (-.f64 x 1) y) (fma.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)) x)) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (+.f64 x (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (/.f64 (+.f64 -1 x) (*.f64 y y)))
(+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 (-.f64 1 x) y) (+.f64 x (/.f64 (-.f64 1 x) (pow.f64 y 3)))))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.4b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
0.0b
(/.f64 y (-.f64 -1 y))
✓0.0b
(/.f64 y (-.f64 -1 y))
✓4.4b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite60.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
621×unpow-prod-down_binary64
443×log-prod_binary64
261×pow-prod-down_binary64
258×pow2_binary64
234×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119421
2261021
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(/.f64 y (-.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 3) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2) (-.f64 1 (*.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2) 1) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) (sqrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (pow.f64 (/.f64 1 (neg.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) (/.f64 y (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 y) -1/2) (/.f64 y (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) 1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) 1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 -1 y) -1/2) 1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) 1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 1 (*.f64 y y))) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2) y) 1/3) (cbrt.f64 (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -1 y)) (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 3) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) 1)) 2) -1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (-.f64 -1 y) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) -1) (pow.f64 (/.f64 (-.f64 -1 y) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -1 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 -1 y) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 -1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 -1 y) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 -1 y))))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
775×fma-neg_binary64
416×associate-*l*_binary64
376×associate--l-_binary64
351×sub-neg_binary64
324×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064698
1188633
2600503
32736489
Stop Event
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x)))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(*.f64 -1 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y))))
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y))))
(-.f64 1 (/.f64 y (+.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (neg.f64 y) (-.f64 1 x) 1)
(fma.f64 y (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x)))))
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x))))
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y))))
(fma.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y)) 1)
(fma.f64 (-.f64 1 x) (-.f64 (*.f64 y y) y) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))))
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (fma.f64 -1 (*.f64 y (-.f64 1 x)) (*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y))) (*.f64 (-.f64 1 x) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y y) (+.f64 y (pow.f64 y 3)))))
(+.f64 1 (*.f64 (-.f64 y (*.f64 y x)) (-.f64 y (fma.f64 y y 1))))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(+.f64 1 (neg.f64 (-.f64 1 x)))
(-.f64 1 (-.f64 1 x))
x
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 x y)))
(+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)))) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (+.f64 x (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 (+.f64 -1 x) y)))
(+.f64 1 (*.f64 -1 (-.f64 1 x)))
(+.f64 1 (neg.f64 (-.f64 1 x)))
(-.f64 1 (-.f64 1 x))
x
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 x y)))
(+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)))) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 x (/.f64 (-.f64 1 x) y)))
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (+.f64 x (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(-.f64 (+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 (+.f64 -1 x) y)))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(*.f64 y (+.f64 -1 y))
(-.f64 (*.f64 y y) y)
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (neg.f64 y)))
(-.f64 (*.f64 y (+.f64 -1 y)) (pow.f64 y 3))
(-.f64 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(*.f64 y (-.f64 y (fma.f64 y y 1)))
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y))))
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (+.f64 (neg.f64 y) (pow.f64 y 4))))
(-.f64 (-.f64 (fma.f64 y y (pow.f64 y 4)) y) (pow.f64 y 3))
(-.f64 (fma.f64 y (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 y 3))
(*.f64 (+.f64 y (pow.f64 y 3)) (+.f64 -1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (/.f64 1 y) y))
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 -1 (/.f64 (/.f64 1 y) y))))
(+.f64 -1 (+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (/.f64 1 y) y))
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 -1 (/.f64 (/.f64 1 y) y))))
(+.f64 -1 (+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))

eval183.0ms (3.1%)

Compiler

Compiled 5722 to 4201 computations (26.6% saved)

prune55.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3269335
Fresh000
Picked101
Done101
Total3289337
Error
0.0b
Counts
337 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
40.5b
(/.f64 (*.f64 y x) (+.f64 1 y))
31.9b
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
▶31.5b
(+.f64 x (/.f64 (-.f64 1 x) y))
▶31.7b
(-.f64 1 (*.f64 y (-.f64 1 x)))
36.1b
x
▶30.4b
(*.f64 (/.f64 y (+.f64 1 y)) x)
▶37.1b
(-.f64 1 (/.f64 y (+.f64 y 1)))
▶43.3b
(-.f64 1 (-.f64 1 x))
37.4b
1
Compiler

Compiled 140 to 103 computations (26.4% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite53.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
826×pow1_binary64
768×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114917
2204517
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 y (+.f64 1 y))
(*.f64 (/.f64 y (+.f64 1 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) (sqrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (hypot.f64 1 (sqrt.f64 y))) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))))

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
667×times-frac_binary64
437×sub-neg_binary64
424×distribute-rgt-neg-in_binary64
401×distribute-lft-neg-in_binary64
381×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049437
1136413
2372400
31258388
44626388
Stop Event
1×node limit
Counts
92 → 86
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
Outputs
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(fma.f64 (*.f64 y y) (+.f64 y -1) y)
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(-.f64 (+.f64 (pow.f64 y 3) (-.f64 y (pow.f64 y 4))) (*.f64 y y))
(fma.f64 (*.f64 y y) (+.f64 y -1) (-.f64 y (pow.f64 y 4)))
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3))))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (*.f64 (neg.f64 (*.f64 y y)) x))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (-.f64 x (*.f64 y x)))
(*.f64 (-.f64 1 y) (*.f64 y x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 x (*.f64 (*.f64 y y) (+.f64 -1 y))))
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) y))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (*.f64 (*.f64 y y) x) (fma.f64 (pow.f64 y 3) x (*.f64 (neg.f64 (pow.f64 y 4)) x))))
(fma.f64 y x (-.f64 (*.f64 x (*.f64 (*.f64 y y) (+.f64 -1 y))) (*.f64 (pow.f64 y 4) x)))
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) (-.f64 y (pow.f64 y 4))))
(*.f64 (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y y 1) x))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (-.f64 x (/.f64 x (pow.f64 y 3))))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(-.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 y y)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (-.f64 x (/.f64 x (pow.f64 y 3))))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(-.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 y y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.7b
(-.f64 1 (-.f64 1 x))
✓4.7b
(-.f64 1 (-.f64 1 x))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
567×pow1_binary64
534×add-log-exp_binary64
534×log1p-expm1-u_binary64
534×expm1-log1p-u_binary64
526×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054
11141
215671
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 1 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (-.f64 1 (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (log.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x))) (expm1.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 0 (-.f64 (*.f64 x x) (*.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x)))) (-.f64 1 (expm1.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
44 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.4b
(-.f64 1 (/.f64 y (+.f64 y 1)))
0.0b
(/.f64 y (+.f64 y 1))
✓0.0b
(/.f64 y (+.f64 y 1))
✓2.4b
(-.f64 1 (/.f64 y (+.f64 y 1)))

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(-.f64 1 (/.f64 y (+.f64 y 1)))
0.0ms
y
@inf
(-.f64 1 (/.f64 y (+.f64 y 1)))
0.0ms
y
@0
(-.f64 1 (/.f64 y (+.f64 y 1)))
0.0ms
y
@0
(/.f64 y (+.f64 y 1))
0.0ms
y
@inf
(/.f64 y (+.f64 y 1))

rewrite80.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
812×pow1_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
759×add-log-exp_binary64
745×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113817
2200517
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(-.f64 1 (/.f64 y (+.f64 y 1)))
(/.f64 y (+.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 2) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (/.f64 1 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (+.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (neg.f64 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y))) (/.f64 (neg.f64 y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y)))) (-.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (sqrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 y))) (/.f64 y (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))))

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
490×fma-def_binary64
420×sub-neg_binary64
388×associate-/r*_binary64
270×distribute-rgt-in_binary64
269×associate-+l-_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038321
1108309
2294301
3873296
43302294
Stop Event
1×node limit
Counts
84 → 87
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
Outputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 y y)))
(+.f64 1 (-.f64 (*.f64 y y) y))
(fma.f64 y y (-.f64 1 y))
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))))
(+.f64 1 (fma.f64 -1 (pow.f64 y 3) (+.f64 (neg.f64 y) (*.f64 y y))))
(+.f64 (-.f64 (*.f64 y y) y) (-.f64 1 (pow.f64 y 3)))
(-.f64 (fma.f64 y y (-.f64 1 y)) (pow.f64 y 3))
(fma.f64 y (-.f64 y (fma.f64 y y 1)) 1)
(*.f64 (-.f64 1 y) (fma.f64 y y 1))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))))
(-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3)))) (/.f64 -1 (pow.f64 y 4)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))))
(-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3)))) (/.f64 -1 (pow.f64 y 4)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(*.f64 y (-.f64 1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(*.f64 y (fma.f64 y y (-.f64 1 y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y)))
(-.f64 (*.f64 y (fma.f64 y y (-.f64 1 y))) (pow.f64 y 4))
(*.f64 (fma.f64 y y 1) (*.f64 y (-.f64 1 y)))
(*.f64 (-.f64 1 y) (+.f64 y (pow.f64 y 3)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3))))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 1 x))
✓0.0b
(*.f64 y (-.f64 1 x))

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite40.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215097
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))))

simplify19.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
133×fma-def_binary64
90×fma-neg_binary64
21×cancel-sign-sub-inv_binary64
19×associate-*r*_binary64
18×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0794
11376
23076
34676
46476
512876
624376
735076
844776
952376
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite84.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
964×prod-diff_binary64
615×unpow-prod-down_binary64
399×log-prod_binary64
259×fma-def_binary64
222×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115917
2239217
Stop Event
1×node limit
Counts
2 → 177
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
(+.f64 x (/.f64 (-.f64 1 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 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x (/.f64 (-.f64 1 x) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 1 x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 x (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 1 x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))))

simplify66.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
258×fma-neg_binary64
237×fma-def_binary64
45×distribute-rgt-in_binary64
39×cancel-sign-sub-inv_binary64
38×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020450
147364
295286
3186286
4352286
5659286
61022286
71154286
81168286
Stop Event
1×saturated
Counts
213 → 190
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y))))
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))

eval205.0ms (3.5%)

Compiler

Compiled 6295 to 4008 computations (36.3% saved)

prune67.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New4099418
Fresh314
Picked011
Done314
Total41512427
Error
0.0b
Counts
427 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(+.f64 x (/.f64 1 y))
✓31.5b
(+.f64 x (/.f64 (-.f64 1 x) y))
33.8b
(/.f64 y (/.f64 (+.f64 y 1) x))
▶31.6b
(-.f64 1 (*.f64 y (neg.f64 x)))
36.1b
x
▶56.7b
(*.f64 y x)
37.6b
(-.f64 1 y)
37.4b
1
▶57.7b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓37.1b
(-.f64 1 (/.f64 y (+.f64 y 1)))
▶57.2b
(/.f64 1 y)
36.4b
(-.f64 x (/.f64 x y))
Compiler

Compiled 138 to 98 computations (29% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite43.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
665×pow1_binary64
620×add-log-exp_binary64
620×log1p-expm1-u_binary64
620×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217127
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1 y))) (/.f64 (pow.f64 y -2) (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 2) (cbrt.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 y -1/2) (sqrt.f64 x)) (hypot.f64 (pow.f64 y -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 y -2)) (/.f64 1 (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 1 y)) (-.f64 (*.f64 x x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 (*.f64 x x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 y -2)) (-.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 y -3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 y -2) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y -2))) (neg.f64 (-.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (*.f64 x x)) (-.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 y -1/2) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 y))))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06138
19138
Stop Event
1×saturated
Counts
57 → 36
Calls
Call 1
Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(/.f64 1 y)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
x
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 y) x)

localize2.0ms (0%)

localize2.0ms (0%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 -1 (*.f64 y y))
0.0b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓0.6b
(/.f64 -1 (*.f64 y y))

series22.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@0
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
1.0ms
y
@0
(/.f64 -1 (*.f64 y y))
0.0ms
y
@inf
(/.f64 -1 (*.f64 y y))
0.0ms
y
@inf
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
0.0ms
y
@-inf
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))

rewrite53.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
917×pow1_binary64
861×add-log-exp_binary64
859×log1p-expm1-u_binary64
859×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
117517
2253217
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 y y))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 y -2))) (cbrt.f64 (/.f64 1 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 y 4))) (cbrt.f64 (neg.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) y) (/.f64 (sqrt.f64 -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 -1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 y -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (pow.f64 y -2))) (/.f64 (/.f64 1 (pow.f64 y 4)) (+.f64 (/.f64 1 y) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) y) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) y) 2) (/.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 (sqrt.f64 -1) y) (pow.f64 y -1/2)) (hypot.f64 (/.f64 (sqrt.f64 -1) y) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (pow.f64 y -2)) 3)) (/.f64 1 (+.f64 (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (/.f64 1 (pow.f64 y 4))) (/.f64 1 (+.f64 (/.f64 1 y) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 y 3) (*.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 y -2)) (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (pow.f64 y -2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 y) (pow.f64 y -2)) (-.f64 (pow.f64 y -2) (/.f64 1 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (pow.f64 y -2)) 3)) (+.f64 (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (pow.f64 y -2)) 3)) (+.f64 (/.f64 1 (pow.f64 y 4)) (-.f64 (pow.f64 y -2) (/.f64 -1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (/.f64 1 (pow.f64 y 4))) (+.f64 (/.f64 1 y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 y -1))) (neg.f64 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (pow.f64 y -2)) 3))) (neg.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 -1 (pow.f64 y 3))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (/.f64 1 (pow.f64 y 4)))) (neg.f64 (+.f64 (/.f64 1 y) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 y)) (/.f64 y (/.f64 -1 y))) (*.f64 (*.f64 y y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) -1)) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 y (/.f64 -1 y)) -1)) (*.f64 (/.f64 y (/.f64 -1 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 -1 y) (neg.f64 y)) (neg.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (*.f64 y (neg.f64 y)) 1)) (*.f64 (*.f64 y (neg.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (/.f64 y (/.f64 -1 y)) 1)) (*.f64 (/.f64 y (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 -1 y) y) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 y) -1)) (*.f64 (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (neg.f64 y)) y) (*.f64 y (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 y (/.f64 -1 y))) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (/.f64 y (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 y (/.f64 -1 y)) y) (*.f64 y (/.f64 y (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 -1 y))) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (/.f64 -1 y))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 y -2)) (-.f64 (neg.f64 (pow.f64 y -2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 y -1)) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 (sqrt.f64 -1) y) (pow.f64 y -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 y -2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 y -2)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 y 4))) (cbrt.f64 (neg.f64 (pow.f64 y -2))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (neg.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) y) (/.f64 (sqrt.f64 -1) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (neg.f64 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 y -2) (/.f64 1 y))))))))

simplify55.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
537×fma-neg_binary64
448×associate-/r/_binary64
448×div-sub_binary64
434×unswap-sqr_binary64
243×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010216
118216
230216
361216
4142216
5438216
61989216
74531216
87214216
Stop Event
1×node limit
Counts
101 → 82
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
Outputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))

eval33.0ms (0.6%)

Compiler

Compiled 1481 to 1025 computations (30.8% saved)

prune22.0ms (0.4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1171118
Fresh055
Picked011
Done066
Total11713130
Error
0b
Counts
130 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.f64 x (/.f64 1 y))
✓31.5b
(+.f64 x (/.f64 (-.f64 1 x) y))
▶33.8b
(/.f64 y (/.f64 (+.f64 y 1) x))
✓31.6b
(-.f64 1 (*.f64 y (neg.f64 x)))
36.1b
x
✓56.7b
(*.f64 y x)
▶37.6b
(-.f64 1 y)
37.4b
1
✓57.7b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓37.1b
(-.f64 1 (/.f64 y (+.f64 y 1)))
✓57.2b
(/.f64 1 y)
▶60.4b
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
▶36.4b
(-.f64 x (/.f64 x y))
Compiler

Compiled 92 to 66 computations (28.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 x y))
✓0.0b
(-.f64 x (/.f64 x y))

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217837
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x y))))))))

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
70×fma-neg_binary64
29×distribute-rgt-in_binary64
26×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015218
132218
267155
3131155
4222155
5385155
6613155
7641155
Stop Event
1×saturated
Counts
60 → 44
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 -1 (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(+.f64 x (*.f64 -1 (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (*.f64 -1 (/.f64 x y)) x)
Outputs
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 -1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(-.f64 x (/.f64 x y))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
26.1b
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
0.0b
(*.f64 y (+.f64 y -1))
✓0.0b
(*.f64 y (+.f64 y -1))
✓26.1b
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
1.0ms
y
@-inf
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
0.0ms
y
@-inf
(*.f64 y (+.f64 y -1))
0.0ms
y
@inf
(*.f64 y (+.f64 y -1))
0.0ms
y
@inf
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
884×pow1_binary64
828×add-log-exp_binary64
828×log1p-expm1-u_binary64
828×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117720
2223220
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
(*.f64 y (+.f64 y -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y y) (pow.f64 y -3)) (*.f64 (neg.f64 y) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y -3) (*.f64 y y)) (*.f64 (pow.f64 y -3) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 y -1))) (pow.f64 y -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 y -1)) 2) (pow.f64 y -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) (+.f64 y -1)) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 y -1)) 3) (pow.f64 (pow.f64 y -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 y (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) (*.f64 y (pow.f64 y -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y y) 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y y) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) y) (fma.f64 y y (-.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) y) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 y -1))))))))

simplify42.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
905×fma-neg_binary64
549×associate-*l*_binary64
434×unswap-sqr_binary64
427×associate-*r*_binary64
393×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012224
123206
245206
3103206
4280206
51008206
64859206
Stop Event
1×node limit
Counts
62 → 49
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(*.f64 -1 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
Outputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (/.f64 (/.f64 -1 y) y))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(*.f64 y (+.f64 -1 y))

localize2.0ms (0%)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.8b
(/.f64 y (/.f64 (+.f64 y 1) x))
0.0b
(/.f64 (+.f64 y 1) x)
✓0.0b
(/.f64 (+.f64 y 1) x)
✓5.8b
(/.f64 y (/.f64 (+.f64 y 1) x))

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite59.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
925×pow1_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
864×add-log-exp_binary64
846×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2230317
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (+.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 2) (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) (sqrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (+.f64 (neg.f64 y) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (+.f64 y 1)) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 y 1)) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 2)) (/.f64 y (cbrt.f64 (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 2)) (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1) x))) (/.f64 y (sqrt.f64 (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (+.f64 y 1) x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (neg.f64 y) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (+.f64 y 1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (+.f64 y 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (+.f64 y 1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (+.f64 (neg.f64 y) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (+.f64 y 1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (*.f64 (cbrt.f64 (+.f64 y 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y 1) x)) (sqrt.f64 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 y)) (*.f64 (hypot.f64 1 (sqrt.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 y 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 y) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1) x)))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
459×times-frac_binary64
399×distribute-lft-out--_binary64
377×distribute-rgt-neg-in_binary64
346×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037480
198467
2257456
3926443
44024436
Stop Event
1×node limit
Counts
120 → 93
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 1 x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 1 y) x)
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (+.f64 y (neg.f64 (*.f64 y y))))
(*.f64 y (-.f64 x (*.f64 y x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (*.f64 x (+.f64 (pow.f64 y 3) (neg.f64 (*.f64 y y)))))
(*.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (*.f64 y y))))
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
(*.f64 y (*.f64 x (-.f64 (fma.f64 y y 1) y)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (pow.f64 y 3) (neg.f64 (*.f64 y y)))) (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (-.f64 y (*.f64 y y))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 (-.f64 x (*.f64 y x)) (+.f64 y (pow.f64 y 3)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(-.f64 x (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y)))) (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(-.f64 x (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y)))) (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 1 x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)
(/.f64 (+.f64 1 y) x)
(/.f64 (+.f64 y 1) x)

eval45.0ms (0.8%)

Compiler

Compiled 2188 to 1216 computations (44.4% saved)

prune30.0ms (0.5%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New1860186
Fresh022
Picked011
Done01010
Total18613199
Error
0b
Counts
199 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.f64 x (/.f64 1 y))
✓31.5b
(+.f64 x (/.f64 (-.f64 1 x) y))
✓33.8b
(/.f64 y (/.f64 (+.f64 y 1) x))
✓31.6b
(-.f64 1 (*.f64 y (neg.f64 x)))
36.1b
x
✓56.7b
(*.f64 y x)
✓37.6b
(-.f64 1 y)
37.4b
1
✓57.7b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓37.1b
(-.f64 1 (/.f64 y (+.f64 y 1)))
✓57.2b
(/.f64 1 y)
✓60.4b
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
✓36.4b
(-.f64 x (/.f64 x y))
Compiler

Compiled 92 to 66 computations (28.3% saved)

regimes208.0ms (3.5%)

Counts
21 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
(-.f64 1 y)
(/.f64 1 y)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(*.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y -3))
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Outputs
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
Calls

7 calls:

72.0ms
x
37.0ms
y
25.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
24.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
16.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
8.1b7x
0.0b3y
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.0b3(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
12.0b1(-.f64 1 x)
Compiler

Compiled 188 to 127 computations (32.4% saved)

bsearch46.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
4.66641545913458e-7
1995467825.903478
23.0ms
-963087761.6241825
-27608137.613368303
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes302.0ms (5.1%)

Counts
18 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
(-.f64 1 y)
(/.f64 1 y)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Outputs
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 x (/.f64 1 y))
Calls

8 calls:

105.0ms
x
57.0ms
y
36.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
30.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
19.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
11.5b9x
0.2b3y
0.2b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.2b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.2b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.2b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
15.3b3(-.f64 1 x)
15.3b3(-.f64 1 x)
Compiler

Compiled 161 to 109 computations (32.3% saved)

bsearch45.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
4.66641545913458e-7
1995467825.903478
22.0ms
-963087761.6241825
-27608137.613368303
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes195.0ms (3.3%)

Counts
17 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
(-.f64 1 y)
(/.f64 1 y)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 1 (/.f64 y (+.f64 y 1)))
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
Outputs
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(+.f64 x (/.f64 1 y))
Calls

4 calls:

102.0ms
x
33.0ms
y
28.0ms
(-.f64 1 x)
27.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
14.3b11x
0.4b3y
19.3b5(-.f64 1 x)
19.3b5(-.f64 1 x)
Compiler

Compiled 102 to 65 computations (36.3% saved)

bsearch45.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
4.66641545913458e-7
1995467825.903478
22.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes259.0ms (4.4%)

Counts
13 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
(-.f64 1 y)
(/.f64 1 y)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
Outputs
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 y (neg.f64 x)))
(+.f64 x (/.f64 1 y))
Calls

4 calls:

147.0ms
x
42.0ms
(-.f64 1 x)
42.0ms
(-.f64 1 x)
23.0ms
y
Results
ErrorSegmentsBranch
14.6b11x
0.5b3y
19.4b5(-.f64 1 x)
19.4b5(-.f64 1 x)
Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch47.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
4.66641545913458e-7
1995467825.903478
23.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes226.0ms (3.8%)

Counts
12 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
(-.f64 1 y)
(/.f64 1 y)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(/.f64 (*.f64 y x) (+.f64 1 y))
Outputs
(+.f64 x (/.f64 1 y))
(-.f64 1 (*.f64 y (neg.f64 x)))
(+.f64 x (/.f64 1 y))
Calls

4 calls:

104.0ms
x
62.0ms
y
31.0ms
(-.f64 1 x)
27.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
14.6b11x
0.6b3y
19.4b5(-.f64 1 x)
19.4b5(-.f64 1 x)
Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch62.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
4.66641545913458e-7
1995467825.903478
22.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes136.0ms (2.3%)

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

4 calls:

61.0ms
x
27.0ms
(-.f64 1 x)
25.0ms
(-.f64 1 x)
20.0ms
y
Results
ErrorSegmentsBranch
20.2b11x
6.7b3y
24.9b5(-.f64 1 x)
24.9b5(-.f64 1 x)
Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch44.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
4.66641545913458e-7
1995467825.903478
23.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes66.0ms (1.1%)

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

2 calls:

37.0ms
x
27.0ms
y
Results
ErrorSegmentsBranch
23.1b7x
9.4b6y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch136.0ms (2.3%)

Algorithm
5×binary-search
Steps
TimeLeftRight
34.0ms
1.3467400113506932e+163
7.601342745159677e+165
34.0ms
5.656917655078891e+152
6.655390586013427e+153
22.0ms
3.293318986381971e+34
9.813681362394582e+41
22.0ms
4.66641545913458e-7
1995467825.903478
23.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes43.0ms (0.7%)

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

2 calls:

28.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
23.1b7x
11.7b3y
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch46.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
4.66641545913458e-7
1995467825.903478
22.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes38.0ms (0.6%)

Accuracy

Total -51.0b remaining (-433%)

Threshold costs -51.0b (-433%)

Counts
4 → 3
Calls
Call 1
Inputs
1
x
1
(*.f64 y x)
Outputs
x
1
x
Calls

2 calls:

25.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
23.1b7x
11.8b3y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch44.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
1.2224068405376165e+28
1.9853458138368272e+31
22.0ms
-27608137.613368303
-2.3337989270051653e-5
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify31.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
49×distribute-rgt-neg-in_binary64
49×cancel-sign-sub-inv_binary64
36×distribute-lft-neg-in_binary64
34×neg-sub0_binary64
34×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060332
188328
2122328
3160328
4189328
5211328
6250328
7286328
8310328
9332328
10367328
11398328
12427328
13444328
14451328
15456328
16465328
17469328
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y -4136430439353707520/4294967296) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))))
(if (<=.f64 y -4136430439353707520/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (-.f64 1 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 y) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) x (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 y) (if (<=.f64 y 32933189863819711380458504967946240) (/.f64 1 y) (if (<=.f64 y 565691765507889123505043460283599847599109360203532832524052613643611671090451817526292286770574752474111715344239889185532216247174958746943832041979904) x (if (<=.f64 y 13467400113506932033484743993192680676028168950460724427515546803714861661080232206108794907807008233147470988628038627380485723775482018377742668489995669169242112) (/.f64 1 y) x)))))
(if (<=.f64 y -118576048152884352/4294967296) x (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 y) x))
(if (<=.f64 y -118576048152884352/4294967296) x (if (<=.f64 y 12224068405376165404706078720) 1 x))
1
Outputs
(if (<=.f64 y -4136430439353707520/4294967296) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))))
(if (<=.f64 y -4039482850931355/4194304) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y))))))
(if (<=.f64 y -4136430439353707520/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -4039482850931355/4194304) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (-.f64 1 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (-.f64 1 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (+.f64 1 (*.f64 y (+.f64 x -1))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (+.f64 1 (*.f64 y x)) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (+.f64 1 (*.f64 y x)) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -118576048152884352/4294967296) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 y) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -926375376194409/33554432) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 8814609583744763/18889465931478580854784) (-.f64 1 y) (+.f64 x (/.f64 1 y))))
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1

end120.0ms (2%)

Stop Event
1×fuel
Compiler

Compiled 480 to 327 computations (31.9% saved)

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