Details

Time bar (total: 3.7s)

analyze629.0ms (16.9%)

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
12.5%87.4%0.1%6
23.4%76.5%0.1%7
28.9%71%0.1%8
34.7%64.7%0.5%9
44.3%54.4%1.3%10
49.7%48.9%1.4%11
54.9%41.8%3.4%12
61%34%5%13
64.4%29%6.6%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (31%)

Results
972.0ms8256×body128valid
168.0ms1458×body128invalid
Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess33.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
802×times-frac_binary64
679×fma-neg_binary64
418×fma-def_binary64
329×cancel-sign-sub-inv_binary64
220×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02872
17172
215472
326972
447464
589064
6141064
7230364
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (*.f64 x z) y) (/.f64 (+.f64 x 4) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (*.f64 (/.f64 z x) y) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (fma.f64 z (/.f64 y x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (*.f64 (/.f64 1 x) (fma.f64 y z (-.f64 -4 y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (*.f64 x z) y) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 z))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (*.f64 y (/.f64 x z)) (/.f64 (+.f64 x 4) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (*.f64 (/.f64 1 z) (fma.f64 x y (-.f64 -4 x))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify44.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1128×fma-def_binary64
1073×fma-neg_binary64
226×cancel-sign-sub-inv_binary64
222×distribute-rgt-in_binary64
162×distribute-lft-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527416
644316
774416
8178513
9354413
10464213
11483813
12493513
13493513
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶1.8b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
2.9b
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
Compiler

Compiled 78 to 51 computations (34.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 4) y)
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓3.7b
(*.f64 (/.f64 x y) z)

series17.0ms (0.4%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (+.f64 x 4) y)
1.0ms
x
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
y
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
x
@0
(*.f64 (/.f64 x y) z)
1.0ms
y
@inf
(*.f64 (/.f64 x y) z)

rewrite70.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
334×fma-def_binary64
220×expm1-udef_binary64
220×log1p-udef_binary64
202×fma-neg_binary64
175×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
123627
2354827
Stop Event
1×node limit
Counts
3 → 176
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x 4) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (/.f64 1 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -1 x -4) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z))) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z)))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))) (pow.f64 (exp.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 x 4) y)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))) (exp.f64 (*.f64 (/.f64 x y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 4) y)) (/.f64 1 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))))

simplify74.0ms (2%)

Algorithm
1×egg-herbie
Rules
739×fma-neg_binary64
323×fma-def_binary64
185×distribute-rgt-in_binary64
176×cancel-sign-sub-inv_binary64
160×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0311102
1781102
2186952
3442860
4951790
52039790
63042790
73589790
83601790
93601790
Stop Event
1×saturated
Counts
272 → 194
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 4 y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(/.f64 (-.f64 x (*.f64 z x)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(/.f64 (-.f64 x (*.f64 z x)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 4 y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (-.f64 x -4) y)

prune157.0ms (4.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1877194
Fresh101
Picked101
Done000
Total1897196
Error
0b
Counts
196 → 7
Alt Table
StatusErrorProgram
▶1.8b
(fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))
3.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
2.9b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
34.9b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
28.6b
(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
2.8b
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y)))
34.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 4214 to 2064 computations (51% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
✓1.8b
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))

series7.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))
1.0ms
y
@-inf
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))
1.0ms
z
@0
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))
1.0ms
z
@inf
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))
1.0ms
x
@0
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))

rewrite67.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
332×prod-diff_binary64
190×expm1-udef_binary64
190×log1p-udef_binary64
151×log-pow_binary64
138×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
122414
2307914
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) z) 1) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) 2) (cbrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) (sqrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) (pow.f64 (/.f64 (+.f64 x 4) y) 3)) (fma.f64 (*.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) z) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) z)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 4) y)) (exp.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))) (exp.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 x y) z)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))))

simplify58.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
729×fma-neg_binary64
323×fma-def_binary64
185×distribute-rgt-in_binary64
178×cancel-sign-sub-inv_binary64
160×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030628
178628
2186478
3441386
4950379
52047379
63041379
73594379
83606379
93606379
Stop Event
1×saturated
Counts
62 → 39
Calls
Call 1
Inputs
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
Outputs
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (fma.f64 x z (neg.f64 x)) y))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (fma.f64 x z (neg.f64 x)) y))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 4 y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 x z) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 z y)))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 x z) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 z y)))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 x z -4) y))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)

prune64.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh156
Picked011
Done000
Total74781
Error
0b
Counts
81 → 7
Alt Table
StatusErrorProgram
✓1.8b
(fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))
3.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
2.8b
(fabs.f64 (/.f64 (fma.f64 x (-.f64 1 z) 4) y))
34.9b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
28.6b
(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
▶2.8b
(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y)))
34.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 1392 to 775 computations (44.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
✓0.0b
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
✓6.8b
(/.f64 (*.f64 z x) y)

series10.0ms (0.3%)

Counts
3 → 54
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
0.0ms
z
@0
(/.f64 (*.f64 z x) y)
0.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
0.0ms
y
@-inf
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
0.0ms
y
@inf
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))

rewrite73.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
258×expm1-udef_binary64
258×log1p-udef_binary64
147×add-sqr-sqrt_binary64
143×*-un-lft-identity_binary64
143×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
129333
2442833
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 (-.f64 4 (*.f64 z x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 y) (+.f64 (/.f64 x y) (/.f64 (*.f64 z (neg.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) (/.f64 (*.f64 z (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) (*.f64 (/.f64 (*.f64 z (neg.f64 x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y)) (fma.f64 (/.f64 (*.f64 z (neg.f64 x)) y) 1 (*.f64 z (/.f64 x y))))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 (-.f64 4 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 1 y) (+.f64 4 x)) (/.f64 (*.f64 z (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 2) (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) (/.f64 (*.f64 z (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 (-.f64 4 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) (sqrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) (/.f64 (*.f64 z (neg.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 (-.f64 4 (*.f64 z x)) y))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (/.f64 (-.f64 x 4) y)) (/.f64 (*.f64 16 (pow.f64 y -2)) (/.f64 (-.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 y) (+.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 2) (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) (sqrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 64 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 4 y) (-.f64 (/.f64 4 y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 16 (pow.f64 y -2))) (/.f64 1 (/.f64 (-.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 4 y) (-.f64 (/.f64 4 y) (/.f64 x y)))) (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 64 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 x 4) y) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 16 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 64 (pow.f64 y 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 4 y) (-.f64 (/.f64 4 y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 64 (pow.f64 y 3))) (+.f64 (*.f64 16 (pow.f64 y -2)) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) (/.f64 4 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 16 (pow.f64 y -2))) (/.f64 (-.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (/.f64 64 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 4 y) (-.f64 (/.f64 4 y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 16 (pow.f64 y -2)))) (neg.f64 (/.f64 (-.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x y) (*.f64 y 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (/.f64 y x) 4)) (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) 4)) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 y) (*.f64 y x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (/.f64 y x)) y) (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16 (pow.f64 y -2)) (pow.f64 (/.f64 x y) 2)) (-.f64 (/.f64 4 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 y) (+.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 4 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 y -2))) (cbrt.f64 (/.f64 4 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 4 y))))))

simplify59.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
730×fma-neg_binary64
324×fma-def_binary64
185×distribute-rgt-in_binary64
176×cancel-sign-sub-inv_binary64
160×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030763
174763
2182628
3439545
4942484
52038484
63035484
73582484
83594484
93594484
Stop Event
1×saturated
Counts
200 → 161
Calls
Call 1
Inputs
(/.f64 4 y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 4 y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
Outputs
(/.f64 4 y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) x) y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))))
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (/.f64 (fma.f64 z x -4) y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 4 y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))

prune125.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1592161
Fresh235
Picked101
Done011
Total1626168
Error
0b
Counts
168 → 6
Alt Table
StatusErrorProgram
✓1.8b
(fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))
3.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
▶2.8b
(fabs.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y)))
34.9b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
28.6b
(fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))
34.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
Compiler

Compiled 3778 to 1965 computations (48% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 4 (*.f64 z x))
✓0.0b
(+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))
✓2.7b
(/.f64 (-.f64 4 (*.f64 z x)) y)

series9.0ms (0.2%)

Counts
3 → 70
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (-.f64 4 (*.f64 z x)) y)
1.0ms
z
@0
(/.f64 (-.f64 4 (*.f64 z x)) y)
1.0ms
x
@inf
(/.f64 (-.f64 4 (*.f64 z x)) y)
1.0ms
y
@inf
(/.f64 (-.f64 4 (*.f64 z x)) y)
1.0ms
z
@inf
(/.f64 (-.f64 4 (*.f64 z x)) y)

rewrite65.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
480×fma-def_binary64
275×fma-neg_binary64
228×expm1-udef_binary64
228×log1p-udef_binary64
127×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
124133
2383433
Stop Event
1×node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 (-.f64 4 (*.f64 z x)) y)
(+.f64 (/.f64 x y) (/.f64 (-.f64 4 (*.f64 z x)) y))
(-.f64 4 (*.f64 z x))
Outputs
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1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 x (neg.f64 z) 4) y)) (sqrt.f64 (/.f64 (fma.f64 x (neg.f64 z) 4) y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fma.f64 x (neg.f64 z) 4)) (/.f64 1 (neg.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (fma.f64 x (neg.f64 z) 4) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 4 y)) (cbrt.f64 (/.f64 4 y))) (cbrt.f64 (/.f64 4 y)) (neg.f64 (-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 4 y)) (sqrt.f64 (/.f64 4 y)) (neg.f64 (-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) 1) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (fma.f64 x (neg.f64 z) 4) (cbrt.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (fma.f64 x (neg.f64 z) 4) y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) (cbrt.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) (sqrt.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) (sqrt.f64 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (fma.f64 x (neg.f64 z) 4) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (*.f64 z (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (neg.f64 z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 2) (cbrt.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) (sqrt.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64 (pow.f64 (*.f64 z x) 3)) (/.f64 1 (fma.f64 (*.f64 z x) (fma.f64 z x 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (pow.f64 (*.f64 z x) 2)) (/.f64 1 (fma.f64 z x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z x) (fma.f64 z x 4) 16) (-.f64 64 (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z x 4) (-.f64 16 (pow.f64 (*.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (*.f64 z x) 3)) (fma.f64 (*.f64 z x) (fma.f64 z x 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (*.f64 z x) 2)) (fma.f64 z x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64 (pow.f64 (*.f64 z x) 3))) (neg.f64 (fma.f64 (*.f64 z x) (fma.f64 z x 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (*.f64 z x) 2))) (neg.f64 (fma.f64 z x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (*.f64 z (neg.f64 x)) 3)) (+.f64 16 (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 4 (*.f64 z (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (-.f64 4 (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (neg.f64 z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (neg.f64 z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 z) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (neg.f64 z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (neg.f64 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (neg.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (neg.f64 (cbrt.f64 (*.f64 z x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (neg.f64 (sqrt.f64 (*.f64 z x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) z 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 z (neg.f64 x))) (cbrt.f64 (*.f64 z (neg.f64 x)))) (cbrt.f64 (*.f64 z (neg.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (neg.f64 x))) (sqrt.f64 (*.f64 z (neg.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (cbrt.f64 (*.f64 z x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) x 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) (sqrt.f64 x) 4)))))

simplify65.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
760×fma-neg_binary64
330×fma-def_binary64
190×distribute-rgt-in_binary64
162×cancel-sign-sub-inv_binary64
155×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035984
195984
2213678
3497676
41068669
52135669
63067669
73598669
83607669
93607669
Stop Event
1×saturated
Counts
245 → 194
Calls
Call 1
Inputs
(/.f64 4 y)
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(/.f64 4 y)
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) 4) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) 4) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) 4) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) 4) y))
(/.f64 4 y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) (/.f64 (*.f64 z x) y))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))) (/.f64 (*.f64 z x) y))
4
(*.f64 -1 (*.f64 z x))
(*.f64 -1 (*.f64 z x))
4
(*.f64 -1 (*.f64 z x))
(*.f64 -1 (*.f64 z x))
Outputs
(/.f64 4 y)
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (fma.f64 z x -4)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (fma.f64 z x -4)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(-.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 z x) y))
(-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (fma.f64 z x -4)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
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4
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
4
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))

prune155.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1913194
Fresh314
Picked101
Done011
Total1955200
Error
0b
Counts
200 → 5
Alt Table
StatusErrorProgram
28.6b
(fabs.f64 (+.f64 (/.f64 x y) (*.f64 x (/.f64 (neg.f64 z) y))))
2.8b
(fabs.f64 (fma.f64 (fma.f64 x (neg.f64 z) 4) (/.f64 1 y) (/.f64 x y)))
3.8b
(fabs.f64 (+.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (neg.f64 z) 4) y)) 3)))
34.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
✓1.8b
(fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))
Compiler

Compiled 3642 to 1773 computations (51.3% saved)

regimes650.0ms (17.4%)

Accuracy

Total 1.0b remaining (97.9%)

Threshold costs 0b (0%)

Counts
103 → 3
Compiler

Compiled 1349 to 685 computations (49.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Calls

2 calls:

0.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Steps
ItersPointRange
1e-240
∈ [
5.1425262375104606e-241
, 
1.5308910397551292e-240
]
-2e+160
∈ [
-2.823432440756091e+160
, 
-1.7928741210929954e+156
]
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
6×*-commutative_binary64
5×sub-neg_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02696
14396
26196
36896
47296
57396
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (fabs.f64 (+.f64 (/.f64 x y) (/.f64 (fma.f64 (*.f64 (neg.f64 z) 1) x 4) y))) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))))
Outputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (fabs.f64 (+.f64 (/.f64 x y) (/.f64 (fma.f64 (*.f64 (neg.f64 z) 1) x 4) y))) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (fabs.f64 (+.f64 (/.f64 x y) (/.f64 (fma.f64 (neg.f64 z) x 4) y))) (fabs.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (/.f64 (+.f64 x 4) y)))))

end99.0ms (2.7%)

Stop Event
1×fuel
Compiler

Compiled 216 to 125 computations (42.1% saved)

Profiling

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