Details

Time bar (total: 9.2s)

analyze99.0ms (1.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
43.8%43.7%56.2%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
67.2%67.1%32.8%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
82.4%82.3%17.6%0.1%0%0%0%11
85.2%85.1%14.8%0.1%0%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.8s (19.9%)

Results
1.4s6994×body256valid
212.0ms579×body1024valid
208.0ms677×body512valid
3.0ms6×body2048valid
Bogosity

preprocess173.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
1050×fma-neg_binary64
719×times-frac_binary64
363×associate-/l*_binary64
326×unsub-neg_binary64
291×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
27932
320928
468428
5203428
6476928
7631328
8766028
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 y (/.f64 (+.f64 1 y) (-.f64 1 x))))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.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 1 x) (-.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 x (/.f64 (+.f64 1 x) (-.f64 1 y))))
(-.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)

simplify139.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
779×div-sub_binary64
766×fma-def_binary64
626×fma-neg_binary64
411×sub-neg_binary64
312×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0916
11916
24316
311314
434414
592514
6243214
7370114
8550214
9742314
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 y (/.f64 (+.f64 1 y) (-.f64 1 x))))
(-.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)

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
13.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.7b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
▶13.4b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Compiler

Compiled 25 to 19 computations (24% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) y)
✓3.6b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
✓6.9b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series43.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
29.0ms
y
@inf
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
1.0ms
y
@inf
(*.f64 (-.f64 1 x) y)
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite162.0ms (1.7%)

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
2313536
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 y) y)) (/.f64 x (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 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x) (+.f64 1 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) (*.f64 (-.f64 1 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 y) (*.f64 (-.f64 1 x) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 x) y) (neg.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1)))))
((#(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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3)) (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(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 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 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 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))))
((#(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 expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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)))))))

simplify109.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
633×sub-neg_binary64
568×times-frac_binary64
433×associate-+l+_binary64
375×fma-neg_binary64
308×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881131
12801078
2917998
34106894
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))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))
(*.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))
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))
(*.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) (-.f64 (*.f64 y x) y)))
(*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y)))
(+.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 y (-.f64 (*.f64 y x) y) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(*.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 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))))
(-.f64 1 x)
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x))
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x))
(+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 1 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 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.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 (/.f64 1 (*.f64 y y)) 1) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (+.f64 1 (/.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 1 (+.f64 (+.f64 (/.f64 x y) (/.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 (+.f64 1 (/.f64 x y)) (+.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x))
(-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x))
(+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 1 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 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (-.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.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 (/.f64 1 (*.f64 y y)) 1) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 (+.f64 1 (/.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 1 (+.f64 (+.f64 (/.f64 x y) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x))
(*.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x))
(*.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (/.f64 (+.f64 y 1) x)) (/.f64 y (+.f64 y 1))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.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 y (-.f64 y (*.f64 y x)) 1))
(+.f64 1 (*.f64 y (*.f64 (-.f64 1 x) (+.f64 -1 y))))
(+.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 y (-.f64 y (*.f64 y x)) 1)))
(+.f64 1 (*.f64 y (+.f64 (*.f64 y (*.f64 (+.f64 -1 x) (+.f64 -1 y))) (+.f64 -1 x))))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 1 y)) (/.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 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (*.f64 y 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 1 y) (-.f64 (+.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 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) (+.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 (+.f64 x (/.f64 1 y)) (/.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 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (*.f64 y 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 x (+.f64 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (+.f64 -1 x) (*.f64 y y))))
(+.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 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 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))

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 -1 y))
✓3.6b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Compiler

Compiled 27 to 18 computations (33.3% saved)

series8.0ms (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
(/.f64 y (-.f64 -1 y))
1.0ms
y
@inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
1.0ms
x
@inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
1.0ms
x
@-inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

rewrite131.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
619×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
2261521
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 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(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 log1p.f64 (expm1.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 +.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) y)) 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) y) -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) y) 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 log1p.f64 (expm1.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) y)) -1))))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
775×fma-neg_binary64
425×associate-*l*_binary64
384×associate--l-_binary64
351×sub-neg_binary64
332×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064698
1188633
2600503
32801489
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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(/.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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
(/.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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) 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 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y))))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (-.f64 (*.f64 y x) y) (+.f64 1 y)))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(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 (+.f64 -1 y)) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (-.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 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 (/.f64 1 y) (+.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 1 (-.f64 1 x)) (-.f64 (-.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 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.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 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 (/.f64 1 y) (+.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 1 (-.f64 1 x)) (-.f64 (-.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 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(*.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 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 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1)
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 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 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1)
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))

eval194.0ms (2.1%)

Compiler

Compiled 5722 to 4210 computations (26.4% saved)

prune104.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32510335
Fresh000
Picked101
Done101
Total32710337
Error
0.0b
Counts
337 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(+.f64 x (/.f64 (-.f64 1 x) y))
38.5b
1
▶37.9b
(-.f64 1 (/.f64 y (+.f64 y 1)))
▶45.7b
(-.f64 1 (-.f64 1 x))
31.6b
(*.f64 (/.f64 y (+.f64 y 1)) x)
▶37.9b
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))
32.7b
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
39.4b
x
31.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
▶20.6b
(fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)
Compiler

Compiled 182 to 137 computations (24.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (neg.f64 y))
✓20.3b
(fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)
Compiler

Compiled 37 to 24 computations (35.1% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite83.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
468×log-prod_binary64
365×prod-diff_binary64
299×pow-prod-down_binary64
257×pow2_binary64
238×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
122023
2304323
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)
(*.f64 (-.f64 1 x) (neg.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) (sqrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 3) 1) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 2) (-.f64 1 (*.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 2) 1) (-.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) 1) 1))))))
((#(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 y) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.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 neg.f64 (*.f64 (-.f64 1 x) y))))) (#(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 y) (-.f64 1 x)))))) (#(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 log.f64 (/.f64 1 (+.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 expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1) 1))))) (#(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 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) (cbrt.f64 (*.f64 y y)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y)) (*.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) (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 y (neg.f64 x)))))) (#(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 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))))

simplify70.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
544×fma-neg_binary64
501×+-commutative_binary64
375×associate--l-_binary64
323×associate--r+_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051708
1150655
2489523
32416517
Stop Event
1×node limit
Counts
135 → 114
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 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(*.f64 y (/.f64 x (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(*.f64 y (/.f64 x (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.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 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x)))
(+.f64 1 (/.f64 (*.f64 y (+.f64 -1 x)) (+.f64 1 y)))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
(-.f64 1 (*.f64 y (-.f64 1 x)))
(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 (neg.f64 y) (*.f64 y y))))
(fma.f64 (-.f64 1 x) (-.f64 (*.f64 y y) y) 1)
(fma.f64 (-.f64 1 x) (fma.f64 y y (neg.f64 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) (*.f64 -1 (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (-.f64 1 x) (pow.f64 y 3))))))
(+.f64 1 (fma.f64 (-.f64 1 x) (*.f64 y y) (neg.f64 (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (*.f64 y (-.f64 1 y))) 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 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 (-.f64 1 (-.f64 1 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 x (+.f64 (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.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 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y))))) (/.f64 x y))
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 (-.f64 1 (-.f64 1 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 x (+.f64 (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(+.f64 x (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.1b
(-.f64 1 (-.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (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
215851
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 log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify18.0ms (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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite163.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
756×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217977
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(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) 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 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(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 (exp.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 expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))))))

simplify34.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
202×fma-def_binary64
125×fma-neg_binary64
44×cancel-sign-sub-inv_binary64
31×distribute-rgt-in_binary64
26×unsub-neg_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
09124
116106
225106
335106
448106
574106
6130106
7253106
849479
973279
1082979
1189579
Stop Event
1×saturated
Counts
45 → 38
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)))
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 y) (/.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 y) (/.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 y) (/.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 y) (/.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 y) (/.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 y) (/.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 y) (/.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 y) (/.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 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (+.f64 y 1))
✓3.4b
(-.f64 1 (/.f64 y (+.f64 y 1)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite101.0ms (1.1%)

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
2201617
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)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 log1p.f64 (expm1.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 -.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 (exp.f64 (neg.f64 (log1p.f64 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) (exp.f64 (neg.f64 (log1p.f64 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) (exp.f64 (neg.f64 (log1p.f64 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 (exp.f64 (neg.f64 (log1p.f64 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 log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))))

simplify157.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
491×fma-def_binary64
414×sub-neg_binary64
400×associate-/r*_binary64
275×distribute-rgt-in_binary64
238×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038321
1108309
2294301
3873296
43428294
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))
(-.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 1 (-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3)))
(-.f64 (-.f64 (fma.f64 y y 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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 y))
(-.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 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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 y))
(-.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)))))
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)))
(fma.f64 (*.f64 y y) (+.f64 -1 y) y)
(fma.f64 (-.f64 1 y) y (pow.f64 y 3))
(*.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))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 -1 y) 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 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 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 (pow.f64 y 2)) 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 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y)))
(+.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 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 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 (pow.f64 y 2)) 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 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y)))
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))

localize157.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
✓0.1b
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)
✓5.3b
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))
✓5.8b
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))
Compiler

Compiled 63 to 45 computations (28.6% saved)

series21.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
2.0ms
x
@0
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
2.0ms
y
@inf
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
1.0ms
y
@0
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
1.0ms
x
@0
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))

rewrite168.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
829×prod-diff_binary64
601×log-prod_binary64
318×fma-def_binary64
209×expm1-udef_binary64
207×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
123663
2342663
Stop Event
1×node limit
Counts
4 → 168
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)
(exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))
Outputs
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y)))) (*.f64 2 (*.f64 1/3 (-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 1 x) (+.f64 1 y))) (E.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)) (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 1)) (/.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)) 3) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)) (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) (/.f64 (pow.f64 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)) 2) (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule 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simplify168.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
885×fma-def_binary64
637×times-frac_binary64
518×associate-*r*_binary64
488×associate-*l*_binary64
441×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772227
15842137
220221951
Stop Event
1×node limit
Counts
264 → 193
Calls
Call 1
Inputs
(-.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)))
(-.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)))
(/.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)))
(exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) x)) (+.f64 1 y)) (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) x)) (+.f64 1 y)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2))) (pow.f64 (+.f64 1 y) 2))) (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y))))))
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) x)) (+.f64 1 y)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (pow.f64 x 3))) (pow.f64 (+.f64 1 y) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2))) (pow.f64 (+.f64 1 y) 2))) (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 y))))
(exp.f64 (-.f64 1 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) (+.f64 1 y))))
(exp.f64 1)
(+.f64 (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1))) (exp.f64 1))
(+.f64 (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2))) x) (exp.f64 1))) (exp.f64 1)))
(+.f64 (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1))) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2))) x) (exp.f64 1))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 x 1) 3)) (+.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) x)) 1) (*.f64 (pow.f64 y 3) (exp.f64 1))) (exp.f64 1))))
(exp.f64 x)
(+.f64 (exp.f64 x) (/.f64 (*.f64 (exp.f64 x) (-.f64 1 x)) y))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 x)) (pow.f64 y 2)) (+.f64 (exp.f64 x) (/.f64 (*.f64 (exp.f64 x) (-.f64 1 x)) y)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 x)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 x))) (*.f64 1/6 (pow.f64 (-.f64 1 x) 3)))) x) (exp.f64 x)) (pow.f64 y 3)) (+.f64 (exp.f64 x) (/.f64 (*.f64 (exp.f64 x) (-.f64 1 x)) y))))
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2)) x) 1)) (pow.f64 y 2)) (+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (-.f64 x 1) 2) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 x 1) 3)) x)) 1) (exp.f64 x)) (pow.f64 y 3))) (+.f64 (/.f64 (*.f64 (exp.f64 x) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2)) x) 1)) (pow.f64 y 2)) (+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y)))))
Outputs
(-.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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 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 y y) (-.f64 1 x))))
(+.f64 (fma.f64 y (+.f64 x -1) 1) (*.f64 y (*.f64 y (-.f64 1 x))))
(fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 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 y y) (-.f64 1 x)))))
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 x)))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1))
(fma.f64 (+.f64 x -1) (pow.f64 y 3) (fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (/.f64 (+.f64 x -1) 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) (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x)) (/.f64 x y))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (/.f64 (-.f64 1 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)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.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 1 y) (+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (/.f64 (+.f64 x -1) 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 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 x (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (*.f64 y y)))
(-.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 (/.f64 x (*.f64 y y)) (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 x (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (/.f64 (+.f64 x -1) (*.f64 y y)))
(+.f64 (+.f64 x (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (+.f64 x -1) y))) (/.f64 (+.f64 x -1) (*.f64 y y)))
(-.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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 1 y) x))
(*.f64 (/.f64 y (+.f64 1 y)) x)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y)))
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 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 y (/.f64 (+.f64 1 y) x))) (/.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (-.f64 1 (/.f64 y (+.f64 1 y))))
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y)))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 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 y y) (-.f64 1 x))))
(+.f64 (fma.f64 y (+.f64 x -1) 1) (*.f64 y (*.f64 y (-.f64 1 x))))
(fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 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 y y) (-.f64 1 x)))))
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 x)))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1))
(fma.f64 (+.f64 x -1) (pow.f64 y 3) (fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (/.f64 (+.f64 x -1) 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) (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x)) (/.f64 x y))
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y)))
(+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (/.f64 (-.f64 1 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)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 1 (pow.f64 y 3))) (+.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 1 y) (+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y)))
(-.f64 x (/.f64 (+.f64 x -1) 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 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 x (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (*.f64 y y)))
(-.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 (/.f64 x (*.f64 y y)) (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 x (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (/.f64 (+.f64 x -1) (*.f64 y y)))
(+.f64 (+.f64 x (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (+.f64 x -1) y))) (/.f64 (+.f64 x -1) (*.f64 y y)))
(/.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)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(*.f64 (/.f64 y (+.f64 1 y)) (-.f64 1 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
(-.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (+.f64 1 y)) x))
(*.f64 (/.f64 y (+.f64 1 y)) (-.f64 1 x))
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))))
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))))
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(+.f64 (+.f64 (exp.f64 x) (+.f64 (/.f64 (exp.f64 x) (/.f64 y (-.f64 1 x))) (*.f64 (/.f64 (exp.f64 x) y) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 x)) y)))) (/.f64 (+.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 1 x) 3)) (pow.f64 (-.f64 1 x) 2)) (-.f64 1 x)) (/.f64 (pow.f64 y 3) (exp.f64 x))))
(fma.f64 (/.f64 (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) x) (pow.f64 y 3)) (exp.f64 x) (+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) y) (+.f64 (-.f64 1 x) (/.f64 (+.f64 x (fma.f64 1/2 (pow.f64 (+.f64 x -1) 2) -1)) y)))))
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y)))
(+.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 x)) y))
(+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (/.f64 y (-.f64 1 x))))
(fma.f64 (/.f64 (exp.f64 x) y) (-.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 (*.f64 (exp.f64 x) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2)) x) 1)) (pow.f64 y 2)) (+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y))))
(+.f64 (+.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 x)) y)) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 1 x) 2) (neg.f64 (-.f64 1 x))) (/.f64 (*.f64 y y) (exp.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (/.f64 (exp.f64 x) (/.f64 y (-.f64 1 x))) (*.f64 (/.f64 (exp.f64 x) y) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 x)) y))))
(+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) y) (+.f64 (-.f64 1 x) (/.f64 (+.f64 x (fma.f64 1/2 (pow.f64 (+.f64 x -1) 2) -1)) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (-.f64 x 1) 2) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 x 1) 3)) x)) 1) (exp.f64 x)) (pow.f64 y 3))) (+.f64 (/.f64 (*.f64 (exp.f64 x) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 x 1) 2)) x) 1)) (pow.f64 y 2)) (+.f64 (exp.f64 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (exp.f64 x)) y)))))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 x -1) 3) x) 1)) (/.f64 (pow.f64 y 3) (exp.f64 x))) (+.f64 (+.f64 (exp.f64 x) (neg.f64 (/.f64 (*.f64 (+.f64 x -1) (exp.f64 x)) y))) (/.f64 (exp.f64 x) (/.f64 (*.f64 y y) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 x -1) 2) x) -1)))))
(-.f64 (+.f64 (exp.f64 x) (+.f64 (/.f64 (exp.f64 x) (/.f64 y (-.f64 1 x))) (*.f64 (/.f64 (exp.f64 x) y) (/.f64 (+.f64 -1 (fma.f64 1/2 (pow.f64 (+.f64 x -1) 2) x)) y)))) (/.f64 (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 x -1) 3) x) (-.f64 (pow.f64 (+.f64 x -1) 2) 1)) (/.f64 (pow.f64 y 3) (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) y) (+.f64 (-.f64 1 x) (/.f64 (+.f64 x (fma.f64 1/2 (pow.f64 (+.f64 x -1) 2) -1)) y)))) (*.f64 (/.f64 (+.f64 -1 (fma.f64 1/6 (pow.f64 (+.f64 x -1) 3) (+.f64 x (pow.f64 (+.f64 x -1) 2)))) (pow.f64 y 3)) (exp.f64 x)))

eval224.0ms (2.4%)

Compiler

Compiled 7643 to 5486 computations (28.2% saved)

prune93.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New4569465
Fresh325
Picked101
Done314
Total46312475
Error
0.0b
Counts
475 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
38.5b
1
55.1b
(/.f64 1 y)
▶31.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
▶38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
▶32.1b
(+.f64 x (/.f64 1 y))
✓37.9b
(-.f64 1 (/.f64 y (+.f64 y 1)))
▶37.6b
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
55.8b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
39.5b
(+.f64 x (/.f64 (neg.f64 x) y))
▶38.7b
(-.f64 1 y)
39.4b
x
37.9b
(log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))
Compiler

Compiled 167 to 124 computations (25.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite128.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
649×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
591×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216507
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 y (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(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 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))))

simplify25.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
124×fma-def_binary64
69×fma-neg_binary64
20×cancel-sign-sub-inv_binary64
18×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013160
133160
251160
388160
4122160
5201160
6341160
7419160
8489160
9495160
Stop Event
1×saturated
Counts
62 → 44
Calls
Call 1
Inputs
(*.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 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
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
(*.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 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
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 (*.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 (*.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))

localize4.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

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
@0
(+.f64 x (/.f64 1 y))

rewrite54.0ms (0.6%)

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
217167
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 (sqrt.f64 (+.f64 x (/.f64 1 y))) (sqrt.f64 (+.f64 x (/.f64 1 y))))))) (#(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 (sqrt.f64 (+.f64 x (/.f64 1 y))) 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 expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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))))))

simplify10.0ms (0.1%)

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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
863×pow1_binary64
805×add-log-exp_binary64
805×log1p-expm1-u_binary64
805×expm1-log1p-u_binary64
789×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2212010
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
Outputs
((#(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 1 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (*.f64 y 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 x 1) (/.f64 y (+.f64 y 1)))))) (#(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 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 y x) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(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 pow.f64 (/.f64 (+.f64 y 1) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) -1)))))) (#(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 (exp.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(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 x) 3) (pow.f64 (+.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 log1p.f64 (expm1.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)))))))

simplify54.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
701×fma-def_binary64
459×times-frac_binary64
415×distribute-lft-out--_binary64
375×distribute-rgt-neg-in_binary64
346×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030174
187161
2245150
3904137
44132130
Stop Event
1×node limit
Counts
55 → 57
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)))
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 x (-.f64 1 y)) y)
(+.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 (neg.f64 (*.f64 y y)) (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.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 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 (neg.f64 (*.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4))))
(*.f64 (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y y 1) x))
(*.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 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.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 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x 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 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.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 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓29.4b
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
642×pow1_binary64
597×add-log-exp_binary64
597×log1p-expm1-u_binary64
597×expm1-log1p-u_binary64
584×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
115010
2198810
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
Outputs
((#(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 (*.f64 (/.f64 y (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 y (+.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 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1) (+.f64 (*.f64 (/.f64 y (+.f64 y -1)) (/.f64 y (+.f64 y -1))) (-.f64 1 (*.f64 (/.f64 y (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 y (+.f64 y -1)) (/.f64 y (+.f64 y -1))) 1) (-.f64 (/.f64 y (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 y (+.f64 y -1)))))))))

simplify91.0ms (1%)

Algorithm
1×egg-herbie
Rules
744×fma-def_binary64
660×associate-*l*_binary64
562×fma-neg_binary64
449×cancel-sign-sub-inv_binary64
344×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026178
169171
2180167
3566165
41965164
57370164
Stop Event
1×node limit
Counts
33 → 35
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))))
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 1 (-.f64 (-.f64 (*.f64 y y) y) (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 (/.f64 1 y) (/.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 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 -1 (*.f64 y y)))
(-.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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.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 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.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 (/.f64 1 y) (/.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 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 -1 (*.f64 y y)))
(-.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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.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 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))))

eval139.0ms (1.5%)

Compiler

Compiled 2083 to 1202 computations (42.3% saved)

prune65.0ms (0.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New1684172
Fresh246
Picked011
Done145
Total17113184
Error
0.0b
Counts
184 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶54.6b
(*.f64 y x)
▶55.8b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
▶39.5b
(-.f64 x (/.f64 x y))
✓38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
✓32.1b
(+.f64 x (/.f64 1 y))
▶31.0b
(-.f64 1 (*.f64 x (neg.f64 y)))
✓37.9b
(-.f64 1 (/.f64 y (+.f64 y 1)))
✓37.6b
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
38.5b
1
▶55.1b
(/.f64 1 y)
✓38.7b
(-.f64 1 y)
39.4b
x
37.9b
(log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))
Compiler

Compiled 141 to 104 computations (26.2% saved)

localize7.0ms (0.1%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series12.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
(-.f64 x (/.f64 x y))
1.0ms
x
@0
(-.f64 x (/.f64 x y))
0.0ms
x
@inf
(-.f64 x (/.f64 x y))
0.0ms
x
@-inf
(-.f64 x (/.f64 x y))
0.0ms
y
@inf
(-.f64 x (/.f64 x y))

rewrite60.0ms (0.7%)

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
217897
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 expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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))))))

simplify53.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
74×fma-neg_binary64
28×distribute-rgt-in_binary64
25×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015218
132218
267155
3132155
4223155
5385155
6621155
7649155
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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓0.4b
(/.f64 -1 (*.f64 y y))
Compiler

Compiled 25 to 14 computations (44% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite152.0ms (1.6%)

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
2254417
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 (*.f64 y y) -1) -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 log1p.f64 (expm1.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 -.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 (*.f64 y y) -1)) (*.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 (*.f64 y y) -1) -1)) (*.f64 (*.f64 (*.f64 y y) -1) (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 (*.f64 y y) -1) 1)) (*.f64 (*.f64 (*.f64 y y) -1) 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 (*.f64 y y) -1)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 y y) -1) y) (*.f64 y (*.f64 (*.f64 y y) -1)))))) (#(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 expm1.f64 (log1p.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))))))) (#(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 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)) (/.f64 1 (cbrt.f64 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)))))))

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
537×fma-neg_binary64
468×associate-/r/_binary64
444×div-sub_binary64
434×unswap-sqr_binary64
244×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010216
118216
230216
361216
4142216
5444216
61988216
74574216
87332216
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))

eval35.0ms (0.4%)

Compiler

Compiled 1616 to 933 computations (42.3% saved)

prune26.0ms (0.3%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done099
Total12613139
Error
0.0b
Counts
139 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓54.6b
(*.f64 y x)
✓55.8b
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))
✓39.5b
(-.f64 x (/.f64 x y))
✓38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
✓32.1b
(+.f64 x (/.f64 1 y))
✓31.0b
(-.f64 1 (*.f64 x (neg.f64 y)))
✓37.9b
(-.f64 1 (/.f64 y (+.f64 y 1)))
✓37.6b
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
38.5b
1
✓55.1b
(/.f64 1 y)
✓38.7b
(-.f64 1 y)
39.4b
x
37.9b
(log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))
Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes410.0ms (4.4%)

Counts
25 → 3
Calls
Call 1
Inputs
x
1
x
(*.f64 y x)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 1 y)
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 x (neg.f64 y)))
(+.f64 x (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.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)))
(fma.f64 (neg.f64 y) (/.f64 1 (+.f64 1 y)) 1)
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)
(log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))
Outputs
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Calls

7 calls:

123.0ms
x
73.0ms
y
64.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
50.0ms
(-.f64 1 x)
44.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Results
ErrorSegmentsBranch
10.4b5x
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))
13.4b1(-.f64 1 x)
Compiler

Compiled 225 to 151 computations (32.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.00000000049823
1.0193529096859397
0.0ms
3.853854243048604e-11
0.9999987435078775
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes388.0ms (4.2%)

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

8 calls:

87.0ms
x
57.0ms
(-.f64 1 x)
56.0ms
(-.f64 1 x)
51.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
35.0ms
y
Results
ErrorSegmentsBranch
13.3b7x
0.0b3y
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))
16.3b3(-.f64 1 x)
16.3b3(-.f64 1 x)
Compiler

Compiled 185 to 122 computations (34.1% saved)

bsearch61.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
1.152959473072429e-15
3620852391.8453593
22.0ms
-2007105356.9362917
-6788134.880013042
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes414.0ms (4.5%)

Counts
19 → 3
Calls
Call 1
Inputs
x
1
x
(*.f64 y x)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 1 y)
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 x (neg.f64 y)))
(+.f64 x (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(-.f64 1 (-.f64 y (*.f64 y x)))
(+.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 (-.f64 1 x) y))
Calls

8 calls:

183.0ms
x
53.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
42.0ms
y
36.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
29.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
13.4b7x
0.1b3y
0.4b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.4b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.4b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.4b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
16.3b3(-.f64 1 x)
16.3b3(-.f64 1 x)
Compiler

Compiled 163 to 107 computations (34.4% saved)

bsearch81.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
1.152959473072429e-15
3620852391.8453593
42.0ms
-2007105356.9362917
-6788134.880013042
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes269.0ms (2.9%)

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

4 calls:

136.0ms
x
51.0ms
y
39.0ms
(-.f64 1 x)
35.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
17.1b7x
0.6b3y
20.2b3(-.f64 1 x)
20.2b3(-.f64 1 x)
Compiler

Compiled 104 to 63 computations (39.4% saved)

bsearch87.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
1.152959473072429e-15
3620852391.8453593
35.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes241.0ms (2.6%)

Counts
16 → 3
Calls
Call 1
Inputs
x
1
x
(*.f64 y x)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 1 y)
(-.f64 x (/.f64 x y))
(+.f64 x (/.f64 1 y))
(-.f64 1 (-.f64 1 x))
(-.f64 1 (*.f64 x (neg.f64 y)))
(+.f64 x (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(*.f64 (/.f64 y (+.f64 y 1)) x)
Outputs
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (*.f64 x (neg.f64 y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
Calls

4 calls:

125.0ms
x
48.0ms
y
31.0ms
(-.f64 1 x)
31.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
17.1b7x
0.7b3y
20.2b3(-.f64 1 x)
20.2b3(-.f64 1 x)
Compiler

Compiled 88 to 54 computations (38.6% saved)

bsearch69.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
1.152959473072429e-15
3620852391.8453593
35.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes210.0ms (2.3%)

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

4 calls:

93.0ms
x
42.0ms
y
36.0ms
(-.f64 1 x)
35.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
21.1b12x
0.9b3y
26.7b3(-.f64 1 x)
26.7b3(-.f64 1 x)
Compiler

Compiled 67 to 41 computations (38.8% saved)

bsearch43.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.152959473072429e-15
3620852391.8453593
22.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes99.0ms (1.1%)

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

4 calls:

40.0ms
x
20.0ms
(-.f64 1 x)
19.0ms
(-.f64 1 x)
17.0ms
y
Results
ErrorSegmentsBranch
25.5b7x
8.7b3y
27.6b5(-.f64 1 x)
27.6b5(-.f64 1 x)
Compiler

Compiled 48 to 31 computations (35.4% saved)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
1.152959473072429e-15
3620852391.8453593
21.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes46.0ms (0.5%)

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

2 calls:

25.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
27.0b5x
15.8b3y
Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.152959473072429e-15
3620852391.8453593
24.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes40.0ms (0.4%)

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

2 calls:

23.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
27.0b5x
16.0b3y
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.152959473072429e-15
3620852391.8453593
21.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes36.0ms (0.4%)

Accuracy

Total -46.8b remaining (-291.6%)

Threshold costs -46.8b (-291.6%)

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

2 calls:

21.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
27.0b5x
16.1b3y
Compiler

Compiled 20 to 12 computations (40% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
1.152959473072429e-15
3620852391.8453593
21.0ms
-52.67181660164114
-0.020527226550471848
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
64×cancel-sign-sub-inv_binary64
62×distribute-rgt-neg-in_binary64
45×distribute-lft-neg-in_binary64
43×neg-sub0_binary64
43×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061400
194396
2130396
3175396
4217396
5268396
6324396
7381396
8424396
9471396
10505396
11536396
12554396
13561396
14566396
15575396
16579396
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 7737125245533627/154742504910672534362390528) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 4548635623644201/4503599627370496) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (*.f64 x (neg.f64 y))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (*.f64 x (neg.f64 y))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -3706449587813721/70368744177664) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -3706449587813721/70368744177664) x (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) x))
(if (<=.f64 y -3706449587813721/70368744177664) x (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) 1 x))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 7737125245533627/154742504910672534362390528) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 4548635623644201/4503599627370496) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 7737125245533627/154742504910672534362390528) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) 4548635623644201/4503599627370496) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -2104602506754829/1048576) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (-.f64 y (*.f64 x y))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (*.f64 x (neg.f64 y))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (+.f64 1 (*.f64 x y)) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 (*.f64 x (neg.f64 y))) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (+.f64 1 (*.f64 x y)) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -3706449587813721/70368744177664) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -3706449587813721/70368744177664) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -3706449587813721/70368744177664) x (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) (-.f64 1 y) x))
(if (<=.f64 y -3706449587813721/70368744177664) x (if (<=.f64 y 5846199072316351/5070602400912917605986812821504) 1 x))
x
Compiler

Compiled 297 to 201 computations (32.3% saved)

soundness416.0ms (4.5%)

Algorithm
2×egg-herbie
Rules
779×div-sub_binary64
766×fma-def_binary64
633×sub-neg_binary64
626×fma-neg_binary64
568×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0916
11916
24316
311314
434414
592514
6243214
7370114
8550214
9742314
0881131
12801078
2917998
34106894
Stop Event
1×node limit
1×node limit
Compiler

Compiled 1153 to 880 computations (23.7% saved)

end200.0ms (2.2%)

Compiler

Compiled 277 to 179 computations (35.4% saved)

Profiling

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