Details

Time bar (total: 10.5s)

analyze214.0ms (2%)

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)

sample1.6s (15.4%)

Results
1.0s6918×body256valid
312.0ms625×body1024valid
247.0ms706×body512valid
3.0ms7×body2048valid
Bogosity

preprocess97.0ms (0.9%)

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)

simplify85.0ms (0.8%)

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
14.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
▶14.4b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Compiler

Compiled 25 to 19 computations (24% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) y)
✓3.0b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
✓9.4b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite83.0ms (0.8%)

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)))))))

simplify77.0ms (0.7%)

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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 -1 y))
✓3.0b
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
Compiler

Compiled 27 to 18 computations (33.3% saved)

series19.0ms (0.2%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
15.0ms
x
@0
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
1.0ms
y
@inf
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
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)
0.0ms
y
@0
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)

rewrite75.0ms (0.7%)

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))))))

simplify183.0ms (1.8%)

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))))

eval278.0ms (2.7%)

Compiler

Compiled 5722 to 4210 computations (26.4% saved)

prune135.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New32312335
Fresh000
Picked101
Done011
Total32413337
Error
0.0b
Counts
337 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
29.9b
(+.f64 x (/.f64 (-.f64 1 x) y))
▶29.8b
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
▶44.4b
(-.f64 1 (-.f64 1 x))
36.7b
x
30.0b
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
40.3b
(-.f64 1 (/.f64 y (+.f64 y 1)))
42.1b
1
28.9b
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
28.9b
(/.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))))
▶28.9b
(*.f64 (/.f64 y (+.f64 y 1)) x)
▶38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
▶35.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
Compiler

Compiled 283 to 207 computations (26.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
823×pow1_binary64
766×log1p-expm1-u_binary64
766×expm1-log1p-u_binary64
765×add-log-exp_binary64
749×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2206717
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 y (+.f64 y 1))
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 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) (sqrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))))

simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
667×times-frac_binary64
436×sub-neg_binary64
423×distribute-rgt-neg-in_binary64
381×fma-neg_binary64
277×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049437
1136413
2372400
31257388
44794388
Stop Event
1×node limit
Counts
92 → 86
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
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
(*.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 (*.f64 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 (*.f64 y y) (+.f64 -1 y))))
(*.f64 x (*.f64 y (-.f64 (fma.f64 y y 1) y)))
(*.f64 (*.f64 y x) (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (*.f64 x (*.f64 (*.f64 y y) (+.f64 -1 y))) (*.f64 x (pow.f64 y 4))))
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) (-.f64 y (pow.f64 y 4))))
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(*.f64 (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y y 1) x))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.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 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y)))
(fma.f64 (*.f64 y y) (+.f64 y -1) (-.f64 y (pow.f64 y 4)))
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.3b
(-.f64 1 (-.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.5%)

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))))))

simplify8.0ms (0.1%)

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

localize7.0ms (0.1%)

Compiler

Compiled 20 to 7 computations (65% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.4b
(/.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
2.0ms
y
@-inf
(/.f64 (*.f64 y x) (+.f64 1 y))
0.0ms
y
@0
(/.f64 (*.f64 y x) (+.f64 1 y))
0.0ms
y
@inf
(/.f64 (*.f64 y x) (+.f64 1 y))
0.0ms
x
@-inf
(/.f64 (*.f64 y x) (+.f64 1 y))
0.0ms
x
@inf
(/.f64 (*.f64 y x) (+.f64 1 y))

rewrite93.0ms (0.9%)

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)))))))

simplify50.0ms (0.5%)

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))))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 76 to 46 computations (39.5% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite118.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
516×fma-neg_binary64
314×expm1-udef_binary64
314×log1p-udef_binary64
191×add-sqr-sqrt_binary64
187×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01570
136268
2603368
Stop Event
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 x) (*.f64 y y))
(*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(+.f64 x (/.f64 (-.f64 1 x) y))
Outputs
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1 x) y) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (-.f64 x (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 (-.f64 1 x) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 1 x) y) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))))

simplify93.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
762×sub-neg_binary64
485×div-sub_binary64
438×associate--l+_binary64
370×fma-neg_binary64
330×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0652032
11911835
25791569
321051381
469381381
Stop Event
1×node limit
Counts
294 → 240
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x)
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
Outputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
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(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x))
(*.f64 x (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(*.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))))
(+.f64 x (*.f64 x (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))
(neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)))
(/.f64 (-.f64 1 x) (pow.f64 y 3))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2)))
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 x y)))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))))
(+.f64 (+.f64 x (/.f64 x (*.f64 y y))) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))))
(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y))
(+.f64 x (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (+.f64 -1 x) y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))))
(+.f64 (+.f64 x (/.f64 x (*.f64 y y))) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))))
(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y))
(+.f64 x (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (+.f64 -1 x) y)))
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(fma.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))))
(-.f64 (fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 y)))
(*.f64 x (+.f64 1 (/.f64 -1 y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (-.f64 1 x) y))

eval233.0ms (2.2%)

Compiler

Compiled 8770 to 5956 computations (32.1% saved)

prune79.0ms (0.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4097416
Fresh257
Picked101
Done055
Total41217429
Error
0.0b
Counts
429 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.9b
(+.f64 x (/.f64 (-.f64 1 x) y))
30.5b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
▶55.1b
(*.f64 y x)
✓24.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
✓28.9b
(*.f64 (/.f64 y (+.f64 y 1)) x)
▶55.5b
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
40.3b
(-.f64 1 (/.f64 y (+.f64 y 1)))
45.4b
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
36.7b
x
✓35.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
42.1b
1
▶28.9b
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
▶48.2b
(+.f64 (exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
✓44.4b
(-.f64 1 (-.f64 1 x))
28.9b
(/.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))))
✓38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
36.8b
(-.f64 x (/.f64 x y))
Compiler

Compiled 389 to 281 computations (27.8% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 -1 y))
✓0.0b
(*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))
✓1.3b
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
✓2.8b
(log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))
Compiler

Compiled 47 to 32 computations (31.9% saved)

series27.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
y
@0
(log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))
4.0ms
x
@0
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
3.0ms
x
@-inf
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
2.0ms
x
@inf
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
2.0ms
y
@-inf
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))

rewrite109.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
547×log-prod_binary64
520×prod-diff_binary64
350×pow-prod-down_binary64
298×pow2_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01145
122944
2306942
Stop Event
1×node limit
Counts
3 → 181
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
(*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))
Outputs
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simplify152.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
409×fma-def_binary64
304×distribute-rgt-out_binary64
290×times-frac_binary64
259×+-commutative_binary64
253×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03383691
112333280
256522924
Stop Event
1×node limit
Counts
253 → 285
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (+.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (+.f64 1 y) 3)))))))
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(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2))) (*.f64 -2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 (-.f64 1 x))))))) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2))))) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (-.f64 1 x))))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2))) (*.f64 -2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 (-.f64 1 x))))))) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2))))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 3))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 (-.f64 1 x))))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 2))) (*.f64 -2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 (-.f64 1 x)))))) (-.f64 1 x)) (+.f64 1 (*.f64 -1 (-.f64 1 x))))) (*.f64 -1/6 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 (-.f64 1 x))) 3))))) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (pow.f64 y 3))))))) (/.f64 x y))
(*.f64 -1 (/.f64 y (+.f64 1 y)))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(/.f64 (*.f64 y x) (+.f64 1 y))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1))))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 4) (-.f64 x 1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))))))
(*.f64 -1 (-.f64 1 x))
(+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))
(*.f64 -1 (-.f64 1 x))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (-.f64 1 x))) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) (+.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 (*.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)))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(log1p.f64 (neg.f64 (/.f64 y (+.f64 1 y))))
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))
(+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y))))) (/.f64 x (+.f64 1 y))))
(fma.f64 (/.f64 y (-.f64 1 (/.f64 y (+.f64 1 y)))) (/.f64 x (+.f64 1 y)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2)) (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 y) 2))) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y))))) (/.f64 x (+.f64 1 y)))))
(fma.f64 -1/2 (*.f64 (/.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) (*.f64 x x)) (fma.f64 (/.f64 y (-.f64 1 (/.f64 y (+.f64 1 y)))) (/.f64 x (+.f64 1 y)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y))))) (+.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (+.f64 1 y) 3)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2)) (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 y) 2))) (+.f64 (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y))))) (/.f64 x (+.f64 1 y)))) (/.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (+.f64 1 y) 3)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) (*.f64 x x)) (fma.f64 (/.f64 y (-.f64 1 (/.f64 y (+.f64 1 y)))) (/.f64 x (+.f64 1 y)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))))) (/.f64 (*.f64 1/3 (pow.f64 y 3)) (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 y) 3)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) (*.f64 x x)) (fma.f64 (/.f64 y (-.f64 1 (/.f64 y (+.f64 1 y)))) (/.f64 x (+.f64 1 y)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 y (-.f64 1 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (/.f64 x (+.f64 1 y)) 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 y (+.f64 1 y))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 y (+.f64 1 y))))
(+.f64 (log.f64 x) (-.f64 (log.f64 y) (log1p.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 y (+.f64 1 y))) (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 y (+.f64 1 y)))) (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))))
(+.f64 (log.f64 x) (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (-.f64 (log.f64 y) (log1p.f64 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 y (+.f64 1 y))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 y (+.f64 1 y)))) (+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))) (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))))))
(+.f64 (log.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (-.f64 (log.f64 y) (log1p.f64 y))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x)) -1/2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 y (+.f64 1 y))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (+.f64 1 y) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (/.f64 y (+.f64 1 y)))) (+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 y 3)) (/.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x)))))))
(+.f64 (log.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (-.f64 (log.f64 y) (log1p.f64 y))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3)) 1/3)))))
(+.f64 (log.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (-.f64 (log.f64 y) (log1p.f64 y))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (*.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) 3) (*.f64 (pow.f64 (/.f64 (+.f64 1 y) x) 3) 1/3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 y (+.f64 1 y)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (/.f64 y (+.f64 1 y)))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log1p.f64 y)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x)) (log.f64 (*.f64 -1 (/.f64 y (+.f64 1 y))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))) (log.f64 (neg.f64 (/.f64 y (+.f64 1 y))))))
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (-.f64 (log.f64 (neg.f64 y)) (log1p.f64 y))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 (*.f64 -1 (/.f64 y (+.f64 1 y)))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (log.f64 (neg.f64 (/.f64 y (+.f64 1 y)))))))
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (-.f64 (log.f64 (neg.f64 y)) (log1p.f64 y)))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) (+.f64 1 y)) (*.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 (+.f64 1 y) 3)) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) 2) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 (*.f64 -1 (/.f64 y (+.f64 1 y))))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) (/.f64 y (/.f64 (+.f64 1 y) x))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 3) (pow.f64 y 3)) (/.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (log.f64 (neg.f64 (/.f64 y (+.f64 1 y))))))))
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) (pow.f64 y 3)) (/.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (-.f64 (log.f64 (neg.f64 y)) (log1p.f64 y))))) (log.f64 (/.f64 -1 x)))
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) (/.f64 (+.f64 1 y) x) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) y) 3) (pow.f64 (/.f64 (+.f64 1 y) x) 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x))) (-.f64 (log.f64 (neg.f64 y)) (log1p.f64 y))))) (log.f64 (/.f64 -1 x)))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 y (neg.f64 (-.f64 1 x)))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (-.f64 x 1)) (*.f64 -1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(fma.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (+.f64 x -1) (neg.f64 (pow.f64 (-.f64 1 x) 2)))) (neg.f64 (*.f64 y (-.f64 1 x))))
(-.f64 (*.f64 (*.f64 y y) (+.f64 (-.f64 1 x) (*.f64 -1/2 (pow.f64 (-.f64 1 x) 2)))) (*.f64 y (-.f64 1 x)))
(*.f64 y (-.f64 (*.f64 (-.f64 (-.f64 1 x) (*.f64 1/2 (pow.f64 (-.f64 1 x) 2))) y) (-.f64 1 x)))
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(+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))
(fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))))
(+.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 (+.f64 -1 x) (+.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (pow.f64 y 3))))
(*.f64 -1 (-.f64 1 x))
(neg.f64 (-.f64 1 x))
(+.f64 -1 x)
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (-.f64 1 x))) (/.f64 x y))
(*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y)))
(-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x))
(-.f64 (+.f64 -1 x) (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (/.f64 x y))
(fma.f64 -1 (-.f64 1 x) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (-.f64 1 x) (*.f64 y y)))))
(-.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(+.f64 (+.f64 -1 x) (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)))
(-.f64 (+.f64 (/.f64 1 y) (+.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 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 1 x)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (+.f64 (+.f64 -1 x) (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite71.0ms (0.7%)

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)))))))

simplify52.0ms (0.5%)

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)

localize54.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -1 (/.f64 1 y))
✓0.0b
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
✓0.7b
(/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))
Compiler

Compiled 38 to 24 computations (36.8% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite113.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
472×log-prod_binary64
431×fma-def_binary64
365×pow-prod-down_binary64
264×pow2_binary64
226×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0939
120437
2319635
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
(+.f64 -1 (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) 4)) (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) y) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y (+.f64 -1 (/.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 -1 (/.f64 1 y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (+.f64 -1 (/.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 y))) (/.f64 (pow.f64 y -2) (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 y -3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 y -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))) (+.f64 -1 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (/.f64 -1 y)) (-.f64 1 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 y -3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 y -2))) (neg.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) 1) (-.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))) (+.f64 -1 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 (/.f64 -1 y)) (-.f64 1 (pow.f64 y -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (/.f64 1 y)) -1)))))

simplify80.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
864×fma-neg_binary64
645×cancel-sign-sub-inv_binary64
603×associate-/r/_binary64
536×unswap-sqr_binary64
340×times-frac_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017423
138423
264423
3130423
4311423
51146423
63767411
Stop Event
1×node limit
Counts
208 → 185
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 y 3))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(/.f64 1 (pow.f64 y 3))
(-.f64 (/.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 (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2)))
(/.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 1 (pow.f64 y 2)))
(/.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 1 (pow.f64 y 2)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
-1
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
(-.f64 (/.f64 1 y) 1)
Outputs
(/.f64 1 (pow.f64 y 3))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 y) y))
(/.f64 1 (pow.f64 y 3))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 -1 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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(-.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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(/.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) y) (/.f64 -1 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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(-.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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(/.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) y) (/.f64 -1 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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(-.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 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 y))
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y)))
(fma.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1) (/.f64 1 (pow.f64 y 3)))
(/.f64 1 y)
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
-1
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))
(-.f64 (/.f64 1 y) 1)
(+.f64 (/.f64 1 y) -1)
(+.f64 -1 (/.f64 1 y))

localize155.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))
✓2.4b
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))
✓3.1b
(log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))
5.8b
(/.f64 (+.f64 -1 x) (*.f64 y y))
Compiler

Compiled 95 to 59 computations (37.9% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
964×prod-diff_binary64
436×log-prod_binary64
278×pow-prod-down_binary64
264×fma-def_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
118322
2258322
Stop Event
1×node limit
Counts
2 → 127
Calls
Call 1
Inputs
(log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))) (cbrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 1 x) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)) x)))))

simplify94.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
779×associate-/r*_binary64
772×associate-*l*_binary64
759×times-frac_binary64
716×associate-*r*_binary64
394×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181269
13831189
214641006
Stop Event
1×node limit
Counts
175 → 175
Calls
Call 1
Inputs
(log.f64 (/.f64 1 y))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3)))) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (-.f64 1 (/.f64 1 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (log.f64 (-.f64 1 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (log.f64 (-.f64 1 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3))))) (log.f64 (-.f64 1 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (/.f64 1 (*.f64 y (*.f64 (-.f64 (/.f64 1 y) 1) x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (+.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 y x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 y x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 2) (pow.f64 x 2))))))))
(+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))))
(log.f64 x)
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (log.f64 x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (log.f64 x)))) (/.f64 1 y))
(log.f64 x)
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (log.f64 x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (log.f64 x)))) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
Outputs
(log.f64 (/.f64 1 y))
(neg.f64 (log.f64 y))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (log.f64 (/.f64 1 y)))
(fma.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x) (neg.f64 (log.f64 y)))
(fma.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x) (neg.f64 (log.f64 y)))
(fma.f64 x (+.f64 y -1) (neg.f64 (log.f64 y)))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x) (neg.f64 (log.f64 y))) (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (*.f64 x x))))
(fma.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x) (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2) (*.f64 x x)) (*.f64 -1/2 (*.f64 y y))) (log.f64 y)))
(fma.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 y -1) (neg.f64 (log.f64 y))))
(+.f64 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3)))) (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2)))))))
(fma.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 y)) (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (*.f64 x x))))))
(fma.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2) (*.f64 x x)) (*.f64 -1/2 (*.f64 y y))) (log.f64 y))))
(fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) (*.f64 (pow.f64 x 3) 1/3)) (fma.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 y -1) (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (-.f64 1 (/.f64 1 y))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (-.f64 1 (/.f64 1 y))))
(+.f64 (log1p.f64 (/.f64 -1 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (log.f64 (-.f64 1 (/.f64 1 y)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (-.f64 1 (/.f64 1 y))) (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x)))))
(+.f64 (log1p.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x))) (log.f64 x)))
(+.f64 (log1p.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1 x) (+.f64 y -1)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (log.f64 (-.f64 1 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (-.f64 1 (/.f64 1 y))) (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (*.f64 x x)))))
(+.f64 (+.f64 (log1p.f64 (/.f64 -1 y)) (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x)))) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2) (*.f64 x x)))))))
(+.f64 (+.f64 (log1p.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1 x) (+.f64 y -1)) (log.f64 x))) (/.f64 (/.f64 -1/2 (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3))))) (log.f64 (-.f64 1 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 (*.f64 y (*.f64 (-.f64 1 (/.f64 1 y)) x))) (+.f64 (log.f64 (-.f64 1 (/.f64 1 y))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 3) (pow.f64 x 3))))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 y)) 2) (*.f64 x x)))))
(+.f64 (+.f64 (log1p.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (/.f64 -1 y)) x))) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) (pow.f64 x 3))))) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 y (*.f64 y (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 2) (*.f64 x x)))))))
(+.f64 (+.f64 (log1p.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1 x) (+.f64 y -1)) (/.f64 (/.f64 1/3 (pow.f64 y 3)) (*.f64 (pow.f64 (+.f64 1 (/.f64 -1 y)) 3) (pow.f64 x 3))))) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (/.f64 1 y) -1)))
(-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (/.f64 1 (*.f64 y (*.f64 (-.f64 (/.f64 1 y) 1) x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (/.f64 1 y) -1))) (/.f64 1 (*.f64 (*.f64 y (+.f64 (/.f64 1 y) -1)) x)))
(+.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 y x))))
(-.f64 (+.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (/.f64 (/.f64 1 x) (+.f64 y -1))) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (+.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 y x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 2) (pow.f64 x 2)))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (/.f64 1 y) -1))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 y x)))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 1 y) -1) 2)))))
(-.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 y x))) (/.f64 1/2 (*.f64 (pow.f64 (+.f64 (/.f64 1 y) -1) 2) (*.f64 y (*.f64 y (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1 x) (+.f64 y -1)) (/.f64 (/.f64 -1/2 (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y -1)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (/.f64 1 y) 1))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (-.f64 (/.f64 1 y) 1) (*.f64 y x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 (/.f64 1 y) 1) 2) (pow.f64 x 2))))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (/.f64 1 y) -1))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 y x))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 1 y) -1) 2))))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 1 y) -1) 3))))))
(-.f64 (-.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x))) (/.f64 1/3 (*.f64 (pow.f64 (+.f64 (/.f64 1 y) -1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 y x))) (/.f64 1/2 (*.f64 (pow.f64 (+.f64 (/.f64 1 y) -1) 2) (*.f64 y (*.f64 y (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 (+.f64 (/.f64 1 y) -1)) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 y -1)) (/.f64 (/.f64 -1/2 (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y -1)))) (/.f64 -1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 1 y) -1) 3))))))
(+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log.f64 y))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))
(+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 1 x))) (/.f64 y (/.f64 (-.f64 1 x) x)))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 y)) (/.f64 (*.f64 y x) (-.f64 1 x)))
(-.f64 (fma.f64 (/.f64 y (-.f64 1 x)) x (log1p.f64 (neg.f64 x))) (log.f64 y))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))))
(+.f64 (/.f64 y (/.f64 (-.f64 1 x) x)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x))) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (*.f64 x x)) (log1p.f64 (neg.f64 x))) (log.f64 y)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (*.f64 x x)) (-.f64 (fma.f64 (/.f64 y (-.f64 1 x)) x (log1p.f64 (neg.f64 x))) (log.f64 y)))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))))
(+.f64 (/.f64 y (/.f64 (-.f64 1 x) x)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x))) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 1 x))))))
(+.f64 (/.f64 (*.f64 y x) (-.f64 1 x)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (*.f64 x x)) (-.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) (pow.f64 x 3)) (log1p.f64 (neg.f64 x))) (log.f64 y))))
(fma.f64 (/.f64 y (-.f64 1 x)) x (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (*.f64 x x)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) (log1p.f64 (neg.f64 x)))) (log.f64 y)))
(log.f64 x)
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (log.f64 x)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (log.f64 x) (/.f64 1 y)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (log.f64 x)) (/.f64 1 y)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x)) (*.f64 y y)) (log.f64 x)) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (*.f64 y (*.f64 x x)))) (log.f64 x)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (log.f64 x)))) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (log.f64 x))) (/.f64 1 y)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (log.f64 x))) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 x 3)) (log.f64 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 -1 y))))
(log.f64 x)
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (log.f64 x)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (log.f64 x) (/.f64 1 y)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (log.f64 x)) (/.f64 1 y)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x)) (*.f64 y y)) (log.f64 x)) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (*.f64 y (*.f64 x x)))) (log.f64 x)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (log.f64 x)))) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y x)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (log.f64 x))) (/.f64 1 y)))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (log.f64 x))) (-.f64 (/.f64 1 (*.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 x 3)) (log.f64 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 -1 y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (+.f64 1 (/.f64 -1 y)) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))
(*.f64 (-.f64 1 (/.f64 1 y)) x)
(*.f64 (+.f64 1 (/.f64 -1 y)) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
x
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) x (/.f64 1 y))
(+.f64 x (/.f64 (-.f64 1 x) y))

eval746.0ms (7.1%)

Compiler

Compiled 23592 to 17073 computations (27.6% saved)

prune255.0ms (2.4%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New9259934
Fresh347
Picked101
Done369
Total93219951
Error
0b
Counts
951 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
42.1b
1
29.8b
(+.f64 x (/.f64 1 y))
✓55.1b
(*.f64 y x)
✓24.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
45.5b
(fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)
✓28.9b
(*.f64 (/.f64 y (+.f64 y 1)) x)
✓55.5b
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
▶26.6b
(fma.f64 (/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
27.1b
(/.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2)) (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
40.3b
(-.f64 1 (/.f64 y (+.f64 y 1)))
40.5b
(exp.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))
36.7b
x
✓35.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
▶60.3b
(+.f64 (exp.f64 (neg.f64 (log.f64 y))) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
30.5b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
▶55.8b
(-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y))
▶55.4b
(/.f64 1 y)
✓38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
▶36.8b
(-.f64 x (/.f64 x y))
Compiler

Compiled 418 to 309 computations (26.1% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) y)
✓14.5b
(fma.f64 (/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
✓19.4b
(/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y)))
Compiler

Compiled 52 to 30 computations (42.3% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite86.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
661×log-prod_binary64
482×prod-diff_binary64
282×fma-def_binary64
234×expm1-udef_binary64
234×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
126839
2384839
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 y y)) y)) (/.f64 x (/.f64 (-.f64 1 (*.f64 y y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 (-.f64 1 (*.f64 y y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) y) (/.f64 1 (-.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y 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 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(-.f64 1 x) y) (-.f64 1 (pow.f64 y 4))) (fma.f64 y y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 y 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 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) 2))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) 2) (cbrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) 3) 1) (fma.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) (-.f64 1 (*.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y))) -1) (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) y) (+.f64 y -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 y -1) (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 (-.f64 1 x) y)))) 1))))))

simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
803×fma-neg_binary64
679×times-frac_binary64
497×sub-neg_binary64
416×associate-+l+_binary64
402×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881383
12671271
28931053
344611053
Stop Event
1×node limit
Counts
124 → 119
Calls
Call 1
Inputs
(/.f64 y (-.f64 1 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (*.f64 y (-.f64 1 x)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 5) (-.f64 1 x))))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 7) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 5) (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 7)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(*.f64 -1 (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 7)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(+.f64 1 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
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 x (pow.f64 y 2)) (*.f64 -1 (-.f64 1 x))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.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 x (pow.f64 y 2)) (*.f64 -1 (-.f64 1 x))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
Outputs
(/.f64 y (-.f64 1 (pow.f64 y 2)))
(/.f64 y (-.f64 1 (*.f64 y y)))
(/.f64 y (neg.f64 (fma.f64 y y -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2))))
(neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)))
(/.f64 (*.f64 (neg.f64 y) x) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2))))
(neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)))
(/.f64 (*.f64 (neg.f64 y) x) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (-.f64 1 (pow.f64 y 2)))) (/.f64 y (-.f64 1 (pow.f64 y 2))))
(fma.f64 -1 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) x)) (/.f64 y (-.f64 1 (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) x))
(-.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y))
(*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 5) (-.f64 1 x))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 5))))
(*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 5))))
(*.f64 (-.f64 1 x) (fma.f64 (fma.f64 y y 1) y (pow.f64 y 5)))
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 7) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 5) (-.f64 1 x)))))
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (pow.f64 y 7) (-.f64 1 x) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 5)))))
(fma.f64 (-.f64 1 x) (pow.f64 y 3) (*.f64 (-.f64 1 x) (+.f64 (+.f64 y (pow.f64 y 5)) (pow.f64 y 7))))
(*.f64 (-.f64 1 x) (+.f64 (fma.f64 (fma.f64 y y 1) y (pow.f64 y 5)) (pow.f64 y 7)))
(*.f64 -1 (/.f64 (-.f64 1 x) y))
(/.f64 (neg.f64 (-.f64 1 x)) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 x (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 (+.f64 -1 x) (pow.f64 y 3)))
(-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 5))) (/.f64 (neg.f64 (-.f64 1 x)) y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 x) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 5)))
(-.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 1 (pow.f64 y 5)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 -1 (pow.f64 y 5)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 7)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 7))) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 x (pow.f64 y 5)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 7))) (/.f64 (+.f64 -1 x) (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))
(+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 x (pow.f64 y 7))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 x (pow.f64 y 7))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(*.f64 -1 (/.f64 (-.f64 1 x) y))
(/.f64 (neg.f64 (-.f64 1 x)) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 x (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 (+.f64 -1 x) (pow.f64 y 3)))
(-.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 5))) (/.f64 (neg.f64 (-.f64 1 x)) y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(-.f64 (+.f64 (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 x) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 5)))
(-.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 1 (pow.f64 y 5)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 -1 (pow.f64 y 5)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 7)) (+.f64 (/.f64 x (pow.f64 y 5)) (*.f64 -1 (/.f64 (-.f64 1 x) y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 7))) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) y) (/.f64 x (pow.f64 y 5)))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 x (pow.f64 y 5)) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 7))) (/.f64 (+.f64 -1 x) (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))
(+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 x (pow.f64 y 7))) (-.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(+.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (+.f64 (/.f64 x (pow.f64 y 5)) (/.f64 x (pow.f64 y 7))) (+.f64 (/.f64 (+.f64 -1 x) (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7))))))
(+.f64 1 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))))
(fma.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
(fma.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (+.f64 y -1) 1)
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))
(neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1)))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (+.f64 y -1))) (-.f64 1 (*.f64 y y)))
(/.f64 (*.f64 (+.f64 y -1) (*.f64 x (neg.f64 y))) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (+.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))
(neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1)))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (+.f64 y -1))) (-.f64 1 (*.f64 y y)))
(/.f64 (*.f64 (+.f64 y -1) (*.f64 x (neg.f64 y))) (-.f64 1 (*.f64 y y)))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (+.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 y 1)) (-.f64 1 (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 y 1) x)) (-.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y)))) (neg.f64 (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 y (+.f64 y -1)) (-.f64 1 (*.f64 y y))) (/.f64 y (/.f64 (-.f64 1 (*.f64 y y)) (*.f64 x (+.f64 y -1))))))
(+.f64 1 (*.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
(+.f64 1 (*.f64 (/.f64 y (neg.f64 (fma.f64 y y -1))) (-.f64 (+.f64 y -1) (*.f64 x (+.f64 y -1)))))
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (neg.f64 (*.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) (neg.f64 (*.f64 y (-.f64 1 x)))))
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 y -1))))
(fma.f64 (-.f64 1 x) (*.f64 y (+.f64 y -1)) 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 1 x) (+.f64 (pow.f64 y 3) y)))))
(+.f64 1 (-.f64 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 y -1))) (*.f64 (-.f64 1 x) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (+.f64 y -1)) (pow.f64 y 3))))
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y y) (+.f64 y (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 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (-.f64 1 x))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 1 (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))))
(-.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (+.f64 -1 x) y))
(+.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (+.f64 1 (/.f64 x (*.f64 y y))) (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 1 x)))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))
(+.f64 (-.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 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 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) y))
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 x (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (-.f64 1 x))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(-.f64 (+.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 1 (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (-.f64 1 x)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y))))))
(-.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (+.f64 -1 x) y))
(+.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (-.f64 1 x) y))
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (+.f64 1 (/.f64 x (*.f64 y y))) (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 1 x)))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))
(+.f64 (-.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (+.f64 (+.f64 x (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 (-.f64 1 x) y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0%)

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)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (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))))))

simplify35.0ms (0.3%)

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 (/.f64 -1 y) y) (/.f64 -1 y))
✓0.1b
(/.f64 (/.f64 -1 y) y)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114217
2236817
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 y) y)
(-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) (/.f64 (/.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) 2) (cbrt.f64 (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) (*.f64 (cbrt.f64 (/.f64 -1 y)) (/.f64 1 y)))))) (#(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 (sqrt.f64 (/.f64 -1 y)) (*.f64 (sqrt.f64 (/.f64 -1 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 y)) 1) (/.f64 (sqrt.f64 (/.f64 -1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 -1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 -1 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 y)) (/.f64 (/.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 -1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 -1 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) 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 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 y y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 y y)) (*.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) (fma.f64 (/.f64 -1 y) -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) (fma.f64 (/.f64 1 y) 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 -1 y)) 2) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1 y))) (sqrt.f64 (/.f64 -1 y)) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -1 y) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 y (neg.f64 y)) (neg.f64 y)) (/.f64 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) (pow.f64 (/.f64 -1 y) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (/.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 (/.f64 -1 y))) (-.f64 (/.f64 (sqrt.f64 -1) y) (sqrt.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (-.f64 (/.f64 y (neg.f64 y)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (+.f64 (/.f64 -1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) (-.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) (pow.f64 (/.f64 -1 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 y (neg.f64 y)) (neg.f64 y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) (pow.f64 (/.f64 -1 y) 3)) (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 y (neg.f64 y)) (neg.f64 y))) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 -1 y) 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) (pow.f64 (/.f64 -1 y) 3))) (neg.f64 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))) (neg.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 y) (*.f64 (*.f64 y y) -1)) (pow.f64 y 3))))) (#(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 (*.f64 (/.f64 1 y) y) (*.f64 (neg.f64 y) -1)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -1 y) (neg.f64 y)) y) (*.f64 y (neg.f64 y)))))) (#(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 (*.f64 (/.f64 1 y) (neg.f64 y)) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 y) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -1 (*.f64 y y)) 3) (pow.f64 (/.f64 1 y) 3)) (+.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (-.f64 (*.f64 (/.f64 1 y) (/.f64 1 y)) (*.f64 (/.f64 -1 (*.f64 y y)) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (/.f64 1 y) (pow.f64 y 3)) (*.f64 (/.f64 1 y) (/.f64 1 y))) (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 y (neg.f64 y)) (neg.f64 y)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1 y) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 y) (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (*.f64 y y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 y y))) 2) (cbrt.f64 (/.f64 -1 (*.f64 y y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) y) (/.f64 (sqrt.f64 -1) y) (/.f64 1 y))))))

simplify80.0ms (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
115 → 96
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))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1 y) 1)
0.1b
(*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))
✓2.7b
(exp.f64 (neg.f64 (log.f64 y)))
5.8b
(/.f64 (+.f64 -1 x) (*.f64 y y))
Compiler

Compiled 67 to 36 computations (46.3% saved)

series51.0ms (0.5%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
32.0ms
y
@0
(exp.f64 (neg.f64 (log.f64 y)))
11.0ms
y
@-inf
(exp.f64 (neg.f64 (log.f64 y)))
7.0ms
y
@inf
(exp.f64 (neg.f64 (log.f64 y)))
0.0ms
y
@0
(+.f64 (/.f64 -1 y) 1)
0.0ms
y
@inf
(+.f64 (/.f64 -1 y) 1)

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
541×pow1_binary64
504×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
495×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0911
11795
222725
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 y)))
(+.f64 (/.f64 -1 y) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 -1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y -1)) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y 1)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 y)) (hypot.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y y -1) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 1 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 y 3)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 y 3)) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y y -1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 y 3))) (neg.f64 (fma.f64 y y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 y y -1)) (neg.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (+.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 y y)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) 1)))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
307×fma-neg_binary64
276×associate-/r*_binary64
237×fma-def_binary64
223×associate-*l*_binary64
212×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017155
145128
2101101
3264101
4587101
51610101
Stop Event
1×node limit
Counts
96 → 81
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(/.f64 -1 y)
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
1
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
(-.f64 1 (/.f64 1 y))
Outputs
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(/.f64 -1 y)
(/.f64 -1 y)
(exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))

eval182.0ms (1.7%)

Compiler

Compiled 9596 to 5924 computations (38.3% saved)

prune79.0ms (0.8%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New4923495
Fresh088
Picked101
Done2810
Total49519514
Error
0b
Counts
514 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
42.1b
1
29.8b
(+.f64 x (/.f64 1 y))
55.8b
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
45.5b
(fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)
✓55.1b
(*.f64 y x)
✓24.4b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
40.1b
(fma.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
✓55.4b
(/.f64 1 y)
60.3b
(+.f64 (exp.f64 (neg.f64 (log.f64 y))) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
✓55.5b
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
✓28.9b
(*.f64 (/.f64 y (+.f64 y 1)) x)
40.3b
(-.f64 1 (/.f64 y (+.f64 y 1)))
40.5b
(exp.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))
36.7b
x
✓35.0b
(-.f64 1 (-.f64 y (*.f64 y x)))
30.5b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
✓38.9b
(/.f64 (*.f64 y x) (+.f64 1 y))
27.1b
(/.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2)) (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
✓36.8b
(-.f64 x (/.f64 x y))
Compiler

Compiled 232 to 171 computations (26.3% saved)

regimes387.0ms (3.7%)

Counts
33 → 3
Calls
Call 1
Inputs
x
x
1
(/.f64 1 y)
(*.f64 y x)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 y))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)
(fma.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
(fma.f64 (/.f64 (*.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 y y))) (+.f64 y -1) 1)
(/.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2)) (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
(/.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))))
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))
(+.f64 (exp.f64 (neg.f64 (log.f64 y))) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)))
(+.f64 (exp.f64 (neg.f64 (log.f64 y))) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(+.f64 (exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 1 x) y)))) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 1 x) y))) 3) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)) x) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
(exp.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))
Outputs
(+.f64 x (/.f64 1 y))
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))
Calls

7 calls:

129.0ms
x
94.0ms
y
67.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
36.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
19.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
Results
ErrorSegmentsBranch
6.2b9x
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))
14.4b1(-.f64 1 x)
Compiler

Compiled 468 to 313 computations (33.1% saved)

bsearch55.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
47.11716370500957
144992.14485709165
36.0ms
-2.271805485292431e+19
-310114468705732000.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes395.0ms (3.8%)

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

8 calls:

151.0ms
x
83.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
54.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
27.0ms
y
26.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Results
ErrorSegmentsBranch
9.0b11x
0.1b3y
0.3b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.3b4(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.3b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
0.3b4(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
17.1b3(-.f64 1 x)
17.1b3(-.f64 1 x)
Compiler

Compiled 178 to 119 computations (33.1% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
144992.14485709165
411729.85051168053
19.0ms
-2.271805485292431e+19
-310114468705732000.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes391.0ms (3.7%)

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

8 calls:

115.0ms
x
63.0ms
y
58.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
50.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
37.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
Results
ErrorSegmentsBranch
9.0b11x
0.2b3y
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))
17.1b3(-.f64 1 x)
17.1b3(-.f64 1 x)
Compiler

Compiled 165 to 110 computations (33.3% saved)

bsearch77.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
411729.85051168053
9306807560.094397
38.0ms
-2.271805485292431e+19
-310114468705732000.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes308.0ms (2.9%)

Counts
15 → 3
Calls
Call 1
Inputs
x
x
1
(/.f64 1 y)
(*.f64 y x)
(+.f64 x (/.f64 1 y))
(-.f64 x (/.f64 x y))
(-.f64 1 (-.f64 1 x))
(/.f64 (+.f64 (/.f64 -1 y) 1) y)
(+.f64 x (/.f64 (-.f64 1 x) y))
(-.f64 1 (/.f64 y (+.f64 y 1)))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(/.f64 (*.f64 y x) (+.f64 1 y))
(-.f64 1 (-.f64 y (*.f64 y x)))
(-.f64 (/.f64 (/.f64 -1 y) y) (/.f64 -1 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:

165.0ms
x
49.0ms
(-.f64 1 x)
47.0ms
y
39.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
13.0b9x
2.0b3y
20.6b3(-.f64 1 x)
20.6b3(-.f64 1 x)
Compiler

Compiled 93 to 57 computations (38.7% saved)

bsearch89.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
1.1926242047658488e-6
2.0344160612957536
44.0ms
-11.62750023525451
-0.2884979389380311
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes250.0ms (2.4%)

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

4 calls:

119.0ms
x
66.0ms
(-.f64 1 x)
31.0ms
(-.f64 1 x)
27.0ms
y
Results
ErrorSegmentsBranch
13.0b9x
8.3b3y
20.6b3(-.f64 1 x)
20.6b3(-.f64 1 x)
Compiler

Compiled 77 to 48 computations (37.7% saved)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
411729.85051168053
9306807560.094397
24.0ms
-11.62750023525451
-0.2884979389380311
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes129.0ms (1.2%)

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

4 calls:

57.0ms
x
56.0ms
y
9.0ms
(-.f64 1 x)
4.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
22.6b9x
9.9b3y
29.8b1(-.f64 1 x)
29.8b1(-.f64 1 x)
Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
1.1926242047658488e-6
2.0344160612957536
21.0ms
-11.62750023525451
-0.2884979389380311
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes144.0ms (1.4%)

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

4 calls:

105.0ms
x
21.0ms
y
4.0ms
(-.f64 1 x)
4.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
22.6b9x
10.1b3y
29.8b1(-.f64 1 x)
29.8b1(-.f64 1 x)
Compiler

Compiled 49 to 32 computations (34.7% saved)

bsearch70.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
2.8289001453256795e-7
1.1926242047658488e-6
50.0ms
-11.62750023525451
-0.2884979389380311
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes140.0ms (1.3%)

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

2 calls:

84.0ms
y
55.0ms
x
Results
ErrorSegmentsBranch
25.8b7x
17.1b3y
Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch81.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
411729.85051168053
9306807560.094397
40.0ms
-11.62750023525451
-0.2884979389380311
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes15.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

2 calls:

7.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
36.7b1x
36.7b1y
Compiler

Compiled 10 to 6 computations (40% saved)

simplify85.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
67×distribute-rgt-neg-in_binary64
67×cancel-sign-sub-inv_binary64
51×neg-sub0_binary64
51×neg-mul-1_binary64
47×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061325
188325
2116325
3150325
4187325
5234325
6286325
7358325
8404325
9463325
10542325
11589325
12616325
13639325
14647325
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 6631151278269867/140737488355328) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 2490946081352413/17179869184) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7073464970938547/17179869184) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5632008571245309/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 7073464970938547/17179869184) (-.f64 1 (/.f64 y (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5632008571245309/4722366482869645213696) 1 (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5343641291868423/18889465931478580854784) 1 (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -6545700715842821/562949953421312) x (if (<=.f64 y 7073464970938547/17179869184) 1 x))
x
Outputs
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 6631151278269867/140737488355328) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 6631151278269867/140737488355328) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 1 (/.f64 -1 y))))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 2490946081352413/17179869184) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 2490946081352413/17179869184) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) -1)))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7073464970938547/17179869184) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -22718054852924309504) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7073464970938547/17179869184) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5632008571245309/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5632008571245309/4722366482869645213696) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 7073464970938547/17179869184) (-.f64 1 (/.f64 y (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5632008571245309/4722366482869645213696) 1 (+.f64 x (/.f64 (-.f64 1 x) y))))
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5343641291868423/18889465931478580854784) 1 (+.f64 x (/.f64 1 y))))
(if (<=.f64 y -6545700715842821/562949953421312) x (if (<=.f64 y 7073464970938547/17179869184) 1 x))
x
Compiler

Compiled 243 to 168 computations (30.9% saved)

soundness645.0ms (6.2%)

Algorithm
3×egg-herbie
Rules
779×div-sub_binary64
775×fma-neg_binary64
766×fma-def_binary64
633×sub-neg_binary64
626×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0916
11916
24316
311314
434414
592514
6243214
7370114
8550214
9742314
064698
1188633
2600503
32801489
0881131
12801078
2917998
34106894
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1371 to 1034 computations (24.6% saved)

end284.0ms (2.7%)

Compiler

Compiled 227 to 152 computations (33% saved)

Profiling

Loading profile data...