Details

Time bar (total: 1.7s)

analyze144.0ms (8.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
54.6%45.3%0.1%8
71%28.9%0.1%9
76.1%23.8%0.1%10
84.9%15%0.1%11
87.7%12.2%0.1%12
92.2%7.7%0.1%13
93.7%6.2%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample709.0ms (40.8%)

Results
697.0ms8254×body128valid
0.0ms1×body512valid
0.0ms1×body256valid

preprocess40.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
868×fma-neg_binary64
664×div-sub_binary64
422×times-frac_binary64
246×distribute-rgt-in_binary64
196×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
23720
36420
413120
526420
653720
7155720
8344820
9472420
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
(/.f64 (-.f64 x y) (+.f64 x -1))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify37.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
369×fma-def_binary64
316×div-sub_binary64
272×times-frac_binary64
116×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
22210
33710
47010
512010
622710
744610
8106810
9219810
10283310
11311610
12312610
13312610
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 y x) (-.f64 y 1))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite100.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
725×prod-diff_binary64
238×fma-def_binary64
221×egg-rr
150×expm1-udef_binary64
149×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2241910
Stop Event
1×node limit
Counts
1 → 221
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
Outputs
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simplify36.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
593×times-frac_binary64
363×fma-def_binary64
307×sub-neg_binary64
301×associate-+l+_binary64
272×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061466
1205409
2742358
33292352
Stop Event
1×node limit
Counts
245 → 243
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
Outputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(/.f64 (neg.f64 y) (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
x
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x)
(fma.f64 (neg.f64 y) (-.f64 1 x) x)
(fma.f64 y (+.f64 -1 x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (fma.f64 x (neg.f64 y) y) (-.f64 -1 y)))
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x)))
(+.f64 (-.f64 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))))
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 y (-.f64 (neg.f64 y) (*.f64 y y))))))
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (-.f64 -1 y)) (pow.f64 y 3))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (pow.f64 y 3))))))))
(+.f64 (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 (+.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 -1 x) y) y)) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 (+.f64 -1 x) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (/.f64 (+.f64 -1 x) y) y))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (*.f64 y y))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (+.f64 -1 x) y)) (/.f64 (-.f64 1 x) (*.f64 y y))))

prune281.0ms (16.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2412243
Fresh000
Picked101
Done000
Total2422244
Error
0b
Counts
244 → 2
Alt Table
StatusErrorProgram
31.2b
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
▶0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Compiler

Compiled 10894 to 7380 computations (32.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.4%)

Counts
2 → 24
Calls

9 calls:

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

rewrite45.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
802×log1p-expm1-u_binary64
802×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
75×*-un-lft-identity_binary64
75×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115114
2209014
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 y (-.f64 1 y))
(/.f64 x (-.f64 1 y))
Outputs
((#(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 y (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.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 (/.f64 1 (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 y (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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))) (+.f64 1 (fma.f64 y y y)))))) (#(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 pow.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(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 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 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 log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 2) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) (sqrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 x (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 y))))))))

simplify24.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
831×fma-def_binary64
269×fma-neg_binary64
217×associate-+l-_binary64
156×times-frac_binary64
154×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048355
1146323
2442302
31381284
Stop Event
1×node limit
Counts
94 → 99
Calls
Call 1
Inputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
Outputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (+.f64 y (*.f64 y y)) (pow.f64 y 3))
(+.f64 (fma.f64 y y y) (pow.f64 y 3))
(fma.f64 (+.f64 y 1) y (pow.f64 y 3))
(fma.f64 y (fma.f64 y y y) y)
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 y y) (pow.f64 y 4))))
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 -1 (/.f64 1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 -1 (-.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 -1 (/.f64 1 (pow.f64 y 3)))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 (-.f64 -1 (/.f64 1 y)) (/.f64 -1 (*.f64 y y)))
(-.f64 -1 (-.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 -1 (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 -1 (/.f64 1 (pow.f64 y 3)))))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x))
(fma.f64 y x (fma.f64 (*.f64 y y) x x))
(+.f64 x (*.f64 x (fma.f64 y y y)))
(fma.f64 x (fma.f64 y y y) x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x)))
(+.f64 (fma.f64 (pow.f64 y 3) x x) (*.f64 x (fma.f64 y y y)))
(fma.f64 y x (fma.f64 x (fma.f64 y y (pow.f64 y 3)) x))
(*.f64 (fma.f64 y y 1) (fma.f64 y x x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (-.f64 -1 (-.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y)))
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (/.f64 x (pow.f64 y 3)))
(*.f64 (/.f64 x y) (-.f64 -1 (-.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 1 y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y))))

prune66.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done000
Total992101
Error
0b
Counts
101 → 2
Alt Table
StatusErrorProgram
▶31.2b
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Compiler

Compiled 1638 to 1096 computations (33.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

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

rewrite45.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
421×log-prod_binary64
290×prod-diff_binary64
174×fma-def_binary64
172×pow1/3_binary64
167×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118921
2241421
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
(*.f64 y (-.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2) (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) 3) (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))) (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)))) (*.f64 x x)) (fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 -1 y)) y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 y)) 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 (*.f64 (-.f64 -1 (pow.f64 y 3)) y) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) y) (+.f64 y -1))))) (#(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 pow.f64 (*.f64 y (-.f64 -1 y)) 1)))) (#(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 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 -1 y) 3) (pow.f64 y 3)) 1/3)))) (#(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 (pow.f64 (exp.f64 (-.f64 -1 y)) 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 cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 y) 3) (pow.f64 y 3)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1 (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1 (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (neg.f64 y)))))))

simplify38.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
680×fma-def_binary64
397×fma-neg_binary64
257×unsub-neg_binary64
253×associate-*l*_binary64
212×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029541
187438
2251404
31004334
44264334
Stop Event
1×node limit
Counts
113 → 99
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (+.f64 1 y)))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
x
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(*.f64 -1 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
Outputs
(*.f64 -1 (*.f64 y (+.f64 1 y)))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x) (*.f64 -1 (*.f64 y (+.f64 1 y))))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x)
(*.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x)
(*.f64 (+.f64 1 (fma.f64 y y y)) x)
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 (+.f64 1 (*.f64 y (+.f64 1 y))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x))
(*.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x)
(*.f64 (+.f64 1 (fma.f64 y y y)) x)
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y (fma.f64 y x x) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (*.f64 y (+.f64 1 y))) 1) x)))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
x
(+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x)
(fma.f64 -1 (*.f64 y (-.f64 1 x)) x)
(-.f64 x (*.f64 y (-.f64 1 x)))
(fma.f64 y (+.f64 -1 x) x)
(-.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(*.f64 (neg.f64 (*.f64 y y)) (-.f64 1 x))
(*.f64 (-.f64 1 x) (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 (-.f64 1 x))))
(*.f64 y (-.f64 (*.f64 y x) y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (+.f64 (*.f64 (-.f64 1 x) (*.f64 y y)) (*.f64 y (-.f64 1 x))))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (*.f64 y (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (fma.f64 y y y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x)))
(*.f64 (neg.f64 (*.f64 y y)) (-.f64 1 x))
(*.f64 (-.f64 1 x) (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 (-.f64 1 x))))
(*.f64 y (-.f64 (*.f64 y x) y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (+.f64 (*.f64 (-.f64 1 x) (*.f64 y y)) (*.f64 y (-.f64 1 x))))
(*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))
(*.f64 (*.f64 y (-.f64 -1 y)) (-.f64 1 x))
(*.f64 (fma.f64 y y y) (+.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) x))
(fma.f64 (+.f64 1 (*.f64 y (+.f64 y 1))) x (*.f64 (neg.f64 y) (+.f64 y 1)))
(-.f64 (*.f64 (+.f64 1 (fma.f64 y y y)) x) (fma.f64 y y y))
(-.f64 (fma.f64 (fma.f64 y y y) x x) (fma.f64 y y y))
(fma.f64 (+.f64 -1 x) (fma.f64 y y y) x)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 (neg.f64 y) (+.f64 y 1))
(neg.f64 (fma.f64 y y y))
(*.f64 y (-.f64 -1 y))

prune56.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done011
Total992101
Error
0b
Counts
101 → 2
Alt Table
StatusErrorProgram
✓31.2b
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x)
✓0.0b
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Compiler

Compiled 1496 to 899 computations (39.9% saved)

regimes46.0ms (2.6%)

Accuracy

Total -32.0b remaining (-317567.3%)

Threshold costs -32.0b (-317567.3%)

Counts
21 → 1
Compiler

Compiled 191 to 119 computations (37.7% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
22216
32616
42816
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
Outputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

end35.0ms (2%)

Stop Event
1×done
Compiler

Compiled 47 to 31 computations (34% saved)

Profiling

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