Details

Time bar (total: 10.3s)

analyze369.0ms (3.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%74.1%0.9%9
35.9%62.2%1.9%10
42.1%55.5%2.4%11
48%47.2%4.8%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (12.1%)

Results
1.0s8256×body256valid
210.0ms1735×body256invalid

preprocess79.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
806×times-frac_binary64
679×fma-neg_binary64
418×fma-def_binary64
342×sub-neg_binary64
329×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02872
17172
215472
326972
447464
589664
6141464
7230764
8654852
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 4) y) (/.f64 x (/.f64 y z))))
(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 (fma.f64 x z (-.f64 -4 x)) y))
(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 y (/.f64 x z)) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (fma.f64 (/.f64 z x) y (/.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 (fma.f64 y z (-.f64 -4 y)) x))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x (/.f64 y z)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(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))))
(fabs.f64 (/.f64 (fma.f64 x y (-.f64 -4 x)) z))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify91.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1141×fma-def_binary64
1073×fma-neg_binary64
228×cancel-sign-sub-inv_binary64
224×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527316
644416
774516
8178613
9364013
10474013
11493613
12503313
13503313
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 (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 (fma.f64 x z (-.f64 -4 x)) y))

eval1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶3.3b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶1.2b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓0.0b
(/.f64 (+.f64 x 4) y)
✓2.0b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series15.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
334×fma-def_binary64
324×pow2_binary64
223×pow1/3_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
123627
2355427
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(/.f64 (+.f64 x 4) y)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(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 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)))) (#(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 pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(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 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 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 +.f64 0 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 1/2)))) (#(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 pow.f64 (/.f64 (/.f64 y (+.f64 x 4)) 1) -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 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)))))) (#(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 +.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 0 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) 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) 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(/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 fma.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))) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) 1) z (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y))))))

simplify112.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
221×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0341102
1961042
22171042
35371042
41261790
52879790
63594790
73778790
83853790
93853790
Stop Event
1×saturated
Counts
286 → 208
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 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 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)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.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 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x 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 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x 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 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
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(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.2b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
525×unpow-prod-down_binary64
421×log-prod_binary64
327×exp-prod_binary64
278×prod-exp_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117711
2235211
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x z -4) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) 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(pow.f64 (/.f64 1 (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (sqrt.f64 y)) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) (-.f64 (fma.f64 x z -4) x)) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z 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*.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) -1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) -2) -1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) -1/2) -1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))))))

simplify98.0ms (1%)

Algorithm
1×egg-herbie
Rules
1170×fma-def_binary64
702×fma-neg_binary64
189×cancel-sign-sub-inv_binary64
183×distribute-rgt-in_binary64
144×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033617
181557
2184375
3409375
4910375
51995375
63650375
74235375
84343375
94345375
104345375
Stop Event
1×saturated
Counts
113 → 91
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)

eval96.0ms (0.9%)

Compiler

Compiled 5825 to 3105 computations (46.7% saved)

prune53.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New28514299
Fresh000
Picked101
Done101
Total28714301
Error
0b
Counts
301 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
3.3b
(fabs.f64 (-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))))
3.3b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
▶31.8b
(fabs.f64 (/.f64 -4 y))
▶31.9b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
▶17.4b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶1.5b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
31.9b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
4.4b
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
16.0b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
46.2b
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
▶3.3b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
46.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
48.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
Compiler

Compiled 336 to 236 computations (29.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0b
(/.f64 (+.f64 x 4) y)
✓2.5b
(/.f64 z (/.f64 y x))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite144.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
699×log-prod_binary64
425×fma-def_binary64
298×log-div_binary64
256×fma-neg_binary64
241×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
124523
2402423
Stop Event
1×node limit
Counts
2 → 202
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 z (neg.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) (fma.f64 (*.f64 z (neg.f64 (/.f64 x y))) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) (+.f64 (*.f64 z (neg.f64 (/.f64 x y))) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 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simplify106.0ms (1%)

Algorithm
1×egg-herbie
Rules
718×fma-neg_binary64
463×fma-def_binary64
220×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033880
196820
2217820
3537820
41265631
52888631
63604631
73788631
83863631
93863631
Stop Event
1×saturated
Counts
274 → 217
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 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.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 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 -4 x) y)
Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 -4 x) y)
0.0ms
y
@0
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@inf
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@-inf
(/.f64 (-.f64 -4 x) y)
0.0ms
y
@-inf
(/.f64 (-.f64 -4 x) y)

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
842×pow1_binary64
791×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11407
219827
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 -4 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 -4 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -4 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 -4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -4 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
152×fma-def_binary64
111×fma-neg_binary64
35×div-sub_binary64
33×cancel-sign-sub-inv_binary64
29×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016268
136247
269226
3107163
4187163
5297163
6476163
7717163
8790163
9804163
Stop Event
1×saturated
Counts
57 → 39
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 1 z))
✓2.2b
(/.f64 x (/.f64 y (-.f64 1 z)))
Compiler

Compiled 30 to 18 computations (40% saved)

series24.0ms (0.2%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(/.f64 y (-.f64 1 z))
5.0ms
x
@0
(/.f64 x (/.f64 y (-.f64 1 z)))
1.0ms
y
@0
(/.f64 x (/.f64 y (-.f64 1 z)))
1.0ms
y
@-inf
(/.f64 y (-.f64 1 z))
1.0ms
y
@inf
(/.f64 x (/.f64 y (-.f64 1 z)))

rewrite88.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
478×log-prod_binary64
377×exp-prod_binary64
304×prod-exp_binary64
256×pow-prod-down_binary64
238×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117517
2251817
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (-.f64 1 z)))
(/.f64 y (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) -2) (/.f64 x (cbrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 1 z)) -1/2) (/.f64 x (sqrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (-.f64 1 z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (-.f64 1 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 1 z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x (-.f64 1 z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (-.f64 1 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 z)) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 z) y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -1) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 z) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z))))) (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log1p.f64 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 z))) (*.f64 (log.f64 y) 1)))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
777×associate-/l*_binary64
528×fma-def_binary64
434×distribute-lft-out_binary64
395×sub-neg_binary64
319×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043559
1124545
2339531
31046511
44328505
Stop Event
1×node limit
Counts
181 → 153
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(fma.f64 z y y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(fma.f64 y z (fma.f64 y (*.f64 z z) y))
(fma.f64 z y (fma.f64 y (*.f64 z z) y))
(*.f64 y (+.f64 z (fma.f64 z z 1)))
(fma.f64 z (fma.f64 z y y) y)
(fma.f64 y (fma.f64 z z z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (+.f64 (fma.f64 y (*.f64 z z) y) (*.f64 y (pow.f64 z 3))))
(fma.f64 z y (fma.f64 y (*.f64 z z) (fma.f64 y (pow.f64 z 3) y)))
(+.f64 (fma.f64 z y y) (*.f64 (*.f64 z z) (fma.f64 z y y)))
(*.f64 (fma.f64 z z 1) (fma.f64 z y y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
✓3.2b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series9.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite96.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
564×log-prod_binary64
369×pow-prod-down_binary64
344×fma-def_binary64
298×pow2_binary64
205×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
121523
2326623
Stop Event
1×node limit
Counts
2 → 183
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
(-.f64 (+.f64 x 4) (*.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)))) 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((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 (*.f64 x z) (fma.f64 x z (+.f64 x 4)) (pow.f64 (+.f64 x 4) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 16) (*.f64 x 4))) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 16) (*.f64 x 4))) (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (fma.f64 x z (+.f64 x 4))) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (fma.f64 x z (+.f64 x 4))) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 4) 2) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (fma.f64 x z (+.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -16) (/.f64 1 (+.f64 x -4)) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -16) (/.f64 1 (+.f64 x -4)) (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) z (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 z))) 2) (cbrt.f64 (*.f64 x (neg.f64 z))) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 4 (*.f64 x z))) 2) (cbrt.f64 (-.f64 4 (*.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 z))) (sqrt.f64 (*.f64 x (neg.f64 z))) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 4 (*.f64 x z))) (sqrt.f64 (-.f64 4 (*.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) x (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x z) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2)) (cbrt.f64 (*.f64 x z)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) z (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x 4))))))

simplify175.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1168×fma-def_binary64
679×fma-neg_binary64
158×cancel-sign-sub-inv_binary64
128×distribute-rgt-in_binary64
85×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040830
194734
2168644
3310644
4587554
51198554
62367554
73228554
83760554
93788554
103788554
Stop Event
1×saturated
Counts
243 → 208
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 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 (-.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)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 x)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(*.f64 -1 (*.f64 z x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 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 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(*.f64 (+.f64 (*.f64 -1 z) 1) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 x)
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))
(+.f64 4 (+.f64 (*.f64 -1 (*.f64 z x)) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) 4)
(-.f64 x (fma.f64 z x -4))

eval346.0ms (3.4%)

Compiler

Compiled 11995 to 6176 computations (48.5% saved)

prune209.0ms (2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New6509659
Fresh729
Picked011
Done224
Total65914673
Error
0b
Counts
673 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.4b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
16.3b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
31.8b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
▶47.2b
(fabs.f64 (/.f64 x y))
46.0b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶3.3b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
▶46.2b
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
34.4b
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
46.2b
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
12.5b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
▶17.4b
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
✓31.8b
(fabs.f64 (/.f64 -4 y))
✓3.3b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
▶48.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
Compiler

Compiled 283 to 192 computations (32.2% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
0.0b
(/.f64 (+.f64 x 4) y)
✓6.2b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

18 calls:

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

rewrite153.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
663×log-prod_binary64
459×fma-def_binary64
335×pow2_binary64
291×fma-neg_binary64
279×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
123920
2387520
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
Outputs
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simplify167.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
220×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033628
196568
2217568
3537568
41266379
52871379
63586379
73770379
83845379
93845379
Stop Event
1×saturated
Counts
247 → 225
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.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 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize5.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.2b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.2b
(/.f64 x (/.f64 (neg.f64 y) z))
Compiler

Compiled 25 to 7 computations (72% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
779×pow1_binary64
723×add-log-exp_binary64
722×log1p-expm1-u_binary64
722×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11567
224287
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 x (/.f64 (neg.f64 y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
77 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -4 y) (/.f64 x y))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(-.f64 (/.f64 -4 y) (/.f64 x y))
1.0ms
y
@inf
(-.f64 (/.f64 -4 y) (/.f64 x y))
0.0ms
y
@0
(-.f64 (/.f64 -4 y) (/.f64 x y))
0.0ms
x
@-inf
(-.f64 (/.f64 -4 y) (/.f64 x y))
0.0ms
x
@inf
(-.f64 (/.f64 -4 y) (/.f64 x y))

rewrite162.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
644×unpow-prod-down_binary64
421×log-prod_binary64
294×fma-def_binary64
238×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11687
225887
Stop Event
1×node limit
Counts
1 → 238
Calls
Call 1
Inputs
(-.f64 (/.f64 -4 y) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (*.f64 (neg.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (fma.f64 -1 (/.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -4 x) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule 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1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (+.f64 (neg.f64 (/.f64 x y)) (/.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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 -4 y)) (*.f64 (neg.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 y) (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (neg.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (neg.f64 y)) (*.f64 (neg.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -4 y) (*.f64 y x)) (/.f64 1 (*.f64 y y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -4 y) (*.f64 y x)) (/.f64 1 (*.f64 y y)) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -4 y) (*.f64 y x)) (/.f64 1 (*.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -4 y) (*.f64 y x)) (/.f64 1 (*.f64 y y)) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -4 x) (/.f64 1 y) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -4 x) (/.f64 1 y) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -4 x) (/.f64 1 y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -4 x) (/.f64 1 y) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -64 (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 (/.f64 -4 y) (/.f64 x y)) (/.f64 16 (*.f64 y y)))) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -64 (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 (/.f64 -4 y) (/.f64 x y)) (/.f64 16 (*.f64 y y)))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -64 (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 (/.f64 -4 y) (/.f64 x y)) (/.f64 16 (*.f64 y y)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -64 (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 (/.f64 -4 y) (/.f64 x y)) (/.f64 16 (*.f64 y y)))) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) -4 (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) -4 (*.f64 (neg.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 -4 x) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 -4 x) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 -4 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 -4 x) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 -4 y) (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 -4 y) (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 -4 y) (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 16 (*.f64 y y)) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 -4 y) (/.f64 x y))) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 x y))) 2) (cbrt.f64 (neg.f64 (/.f64 x y))) (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 (/.f64 x y))) (/.f64 -4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 -4 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 (+.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 (/.f64 -4 y)) (sqrt.f64 (/.f64 x y))) (+.f64 (neg.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 -4 y))))))

simplify29.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
111×fma-def_binary64
93×fma-neg_binary64
49×cancel-sign-sub-inv_binary64
27×sub-neg_binary64
26×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020205
152205
2102163
3194163
4334163
5601163
6708163
7717163
Stop Event
1×saturated
Counts
262 → 244
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
Outputs
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 x)) y))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(neg.f64 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 (neg.f64 x) -4) y)
(/.f64 (-.f64 -4 x) y)

eval281.0ms (2.7%)

Compiler

Compiled 12932 to 6290 computations (51.4% saved)

prune177.0ms (1.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New5964600
Fresh336
Picked011
Done167
Total60014614
Error
0b
Counts
614 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.4b
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
▶46.0b
(fabs.f64 (*.f64 (/.f64 x y) z))
▶31.8b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
✓47.2b
(fabs.f64 (/.f64 x y))
▶46.2b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
✓3.3b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓46.2b
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
✓17.4b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
34.4b
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
18.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
▶12.5b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
✓31.8b
(fabs.f64 (/.f64 -4 y))
▶46.2b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓48.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
Compiler

Compiled 236 to 160 computations (32.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 y x) (+.f64 x 4))
✓0.9b
(-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))
✓6.8b
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x))
✓11.6b
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y)
Compiler

Compiled 82 to 33 computations (59.8% saved)

series59.0ms (0.6%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
39.0ms
x
@inf
(*.f64 (/.f64 y x) (+.f64 x 4))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y)
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y)
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y)
1.0ms
y
@0
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x))

rewrite157.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
592×fma-def_binary64
337×log-div_binary64
333×fma-neg_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01270
130370
2501970
Stop Event
1×node limit
Counts
4 → 388
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y))
(*.f64 (/.f64 y x) (+.f64 x 4))
Outputs
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simplify92.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
867×fma-neg_binary64
761×div-sub_binary64
420×distribute-neg-frac_binary64
407×associate-/l*_binary64
388×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0591669
11611569
24071506
312501358
454201358
Stop Event
1×node limit
Counts
520 → 430
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)))
(*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)))
(*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)))
(*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)))
(/.f64 4 x)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(/.f64 (-.f64 y (*.f64 y z)) y)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(/.f64 (-.f64 y (*.f64 y z)) y)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(/.f64 (+.f64 4 x) x)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1 z) (+.f64 1 (*.f64 4 (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) x) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)) x) y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)) x) y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)) x) y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z)) x) y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (pow.f64 y 2)))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 (-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z))))
(*.f64 4 (/.f64 y x))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 y (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 y (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(*.f64 4 (/.f64 y x))
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
y
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
y
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
(+.f64 y (*.f64 4 (/.f64 y x)))
Outputs
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
(+.f64 1 (-.f64 (/.f64 4 x) z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
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(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
(+.f64 1 (-.f64 (/.f64 4 x) z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
(+.f64 1 (-.f64 (/.f64 4 x) z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
(+.f64 1 (-.f64 (/.f64 4 x) z))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 x))) z)
(-.f64 (+.f64 1 (/.f64 4 x)) z)
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(-.f64 (+.f64 1 (/.f64 4 x)) z)
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(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
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(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
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(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (+.f64 4 x) x)) (*.f64 -1 z))))
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(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
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(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
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(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 y (*.f64 y z))
(-.f64 y (*.f64 z y))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 y (*.f64 y z))
(-.f64 y (*.f64 z y))
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(-.f64 (+.f64 y (*.f64 4 (/.f64 y x))) (*.f64 y z))
(*.f64 (-.f64 (+.f64 1 (/.f64 4 x)) z) y)
(*.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) y)
(fma.f64 y (-.f64 (/.f64 4 x) z) y)
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
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(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
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(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
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(*.f64 (fma.f64 -1 (/.f64 (+.f64 4 x) x) z) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
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(*.f64 z (neg.f64 y))
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(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
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(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 4 x) x) z)) y))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 4 x) x) z) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
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(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
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(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
(+.f64 (/.f64 (*.f64 y (+.f64 4 x)) x) (*.f64 -1 (*.f64 y z)))
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(*.f64 (fma.f64 -1 (/.f64 (+.f64 4 x) x) z) (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (+.f64 4 x) x) z))
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(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
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(*.f64 (+.f64 4 x) (/.f64 y x))
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(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
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(*.f64 (+.f64 4 x) (/.f64 y x))
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(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(/.f64 (*.f64 y (+.f64 4 x)) x)
(/.f64 y (/.f64 x (+.f64 4 x)))
(/.f64 (+.f64 4 x) (/.f64 x y))
(*.f64 (/.f64 (+.f64 4 x) x) y)
(*.f64 (+.f64 4 x) (/.f64 y x))
(*.f64 4 (/.f64 y x))
(/.f64 4 (/.f64 x y))
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
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(fma.f64 4 (/.f64 y x) y)
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
y
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
y
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)
(+.f64 y (*.f64 4 (/.f64 y x)))
(fma.f64 4 (/.f64 y x) y)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.0b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 20 to 6 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.8b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
682×pow1_binary64
629×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
614×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216757
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 z y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))))

simplify37.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
59 → 24
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)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (/.f64 1 y))
✓4.8b
(*.f64 x (*.f64 z (/.f64 1 y)))
Compiler

Compiled 30 to 18 computations (40% saved)

series5.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite62.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116111
2196211
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(*.f64 x (*.f64 z (/.f64 1 y)))
(*.f64 z (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) 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) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z y)))))))

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07348
110348
213348
316348
417348
Stop Event
1×saturated
Counts
100 → 42
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 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.9b
(*.f64 (/.f64 x y) (-.f64 1 z))
Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
956×pow1_binary64
888×add-log-exp_binary64
888×log1p-expm1-u_binary64
888×expm1-log1p-u_binary64
870×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2230210
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 z z)) (*.f64 (/.f64 y x) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 1 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (*.f64 y (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 z 3))) (*.f64 (neg.f64 y) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (*.f64 y (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 z z))) (*.f64 (neg.f64 y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 (+.f64 1 (fma.f64 z z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (*.f64 (+.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) 1) (*.f64 (+.f64 1 (fma.f64 z z z)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) 1) (*.f64 (+.f64 1 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (neg.f64 x)) (*.f64 (+.f64 1 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
708×fma-def_binary64
259×fma-neg_binary64
92×cancel-sign-sub-inv_binary64
85×distribute-rgt-in_binary64
73×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014352
129352
262352
3120352
4271352
5510352
61139352
71658352
82232352
92297352
Stop Event
1×saturated
Counts
77 → 47
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x 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 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x 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 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))

eval291.0ms (2.8%)

Compiler

Compiled 13038 to 5169 computations (60.4% saved)

prune202.0ms (2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New5676573
Fresh112
Picked101
Done4711
Total57314587
Error
0b
Counts
587 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
46.3b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓17.4b
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
✓46.0b
(fabs.f64 (*.f64 (/.f64 x y) z))
37.0b
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
✓17.4b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
6.8b
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
18.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
48.7b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
46.2b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓47.2b
(fabs.f64 (/.f64 x y))
✓31.8b
(fabs.f64 (/.f64 -4 y))
✓46.2b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓3.3b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
32.1b
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
Compiler

Compiled 144 to 103 computations (28.5% saved)

regimes323.0ms (3.1%)

Counts
35 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))))
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

144.0ms
x
73.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
56.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
20.0ms
z
20.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
1.2b1y
1.2b1z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
0.1b3(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 351 to 183 computations (47.9% saved)

bsearch73.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
3.049953276556438e-5
0.30530273105918854
39.0ms
-7.6053576428713905
-4.589309541014867e-5
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes290.0ms (2.8%)

Counts
31 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

101.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
70.0ms
x
66.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
20.0ms
z
18.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
1.2b1y
1.2b1z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
0.1b3(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 297 to 152 computations (48.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.398583074934619e-97
3.115215425527512e-87
0.0ms
-852717832873.622
-83589072190.44817
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes86.0ms (0.8%)

Counts
30 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

43.0ms
x
18.0ms
z
18.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
1.5b1y
1.5b1z
Compiler

Compiled 256 to 128 computations (50% saved)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
924.2898540975752
3236328984.85318
8.0ms
-5.834801952604779e+128
-1.4754580038840285e+127
Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes99.0ms (1%)

Counts
29 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

43.0ms
x
30.0ms
z
17.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
3.3b1y
2.0b2z
Compiler

Compiled 244 to 123 computations (49.6% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
924.2898540975752
3236328984.85318
7.0ms
-5.834801952604779e+128
-1.4754580038840285e+127
Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes84.0ms (0.8%)

Counts
27 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 x) z)) (/.f64 y x)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

36.0ms
x
27.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
3.3b1y
2.0b2z
Compiler

Compiled 220 to 113 computations (48.6% saved)

bsearch52.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
924.2898540975752
3236328984.85318
31.0ms
-5.834801952604779e+128
-1.4754580038840285e+127
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes314.0ms (3%)

Counts
25 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

188.0ms
y
38.0ms
z
35.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
10.1b9y
2.0b3z
Compiler

Compiled 198 to 100 computations (49.5% saved)

bsearch127.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
3.049953276556438e-5
0.30530273105918854
70.0ms
-15049.729131852737
-7.6053576428713905
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes238.0ms (2.3%)

Counts
23 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

141.0ms
y
56.0ms
x
35.0ms
z
Results
ErrorSegmentsBranch
1.2b3x
10.2b9y
2.3b3z
Compiler

Compiled 178 to 94 computations (47.2% saved)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
3.049953276556438e-5
0.30530273105918854
23.0ms
-15049.729131852737
-7.6053576428713905
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes184.0ms (1.8%)

Counts
21 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

87.0ms
y
52.0ms
z
40.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
12.5b8y
8.3b5z
Compiler

Compiled 158 to 86 computations (45.6% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
924.2898540975752
3236328984.85318
22.0ms
-7.213437047730665e-20
-2.252526897077873e-22
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes226.0ms (2.2%)

Counts
18 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 x (*.f64 z x)) y))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

115.0ms
z
72.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
13.6b7y
8.3b5z
Compiler

Compiled 134 to 72 computations (46.3% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
924.2898540975752
3236328984.85318
26.0ms
-7.213437047730665e-20
-2.252526897077873e-22
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes102.0ms (1%)

Counts
16 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
Calls

3 calls:

47.0ms
z
26.0ms
x
25.0ms
y
Results
ErrorSegmentsBranch
7.1b3x
16.0b3y
8.3b5z
Compiler

Compiled 118 to 65 computations (44.9% saved)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
924.2898540975752
3236328984.85318
23.0ms
-7.213437047730665e-20
-2.252526897077873e-22
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes99.0ms (1%)

Counts
14 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (/.f64 4 x) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
Outputs
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 x y) z))
Calls

3 calls:

52.0ms
z
22.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
16.0b3x
16.2b3y
8.3b5z
Compiler

Compiled 102 to 56 computations (45.1% saved)

bsearch468.0ms (4.5%)

Algorithm
4×binary-search
Steps
TimeLeftRight
123.0ms
1.2665456312183485e+161
1.780885222951625e+165
143.0ms
5.104468030671978e+136
8.693177158694605e+138
23.0ms
8.348727787681267e+49
1.1322332374460097e+52
179.0ms
-3.1644023405668264e+111
-2.959986334054936e+102
Compiler

Compiled 471 to 360 computations (23.6% saved)

regimes151.0ms (1.5%)

Counts
6 → 4
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

58.0ms
x
49.0ms
y
42.0ms
z
Results
ErrorSegmentsBranch
16.9b4x
25.3b10y
19.2b9z
Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch198.0ms (1.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
105.0ms
9.318121394651126e+67
9.685056736293216e+70
67.0ms
3.049953276556438e-5
0.30530273105918854
26.0ms
-15049.729131852737
-7.6053576428713905
Compiler

Compiled 165 to 119 computations (27.9% saved)

regimes86.0ms (0.8%)

Counts
3 → 4
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

35.0ms
y
30.0ms
z
19.0ms
x
Results
ErrorSegmentsBranch
16.9b4x
27.6b7y
19.5b9z
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch171.0ms (1.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
122.0ms
9.318121394651126e+67
9.685056736293216e+70
28.0ms
3.049953276556438e-5
0.30530273105918854
22.0ms
-15049.729131852737
-7.6053576428713905
Compiler

Compiled 165 to 119 computations (27.9% saved)

regimes40.0ms (0.4%)

Accuracy

Total -42.2b remaining (-229.4%)

Threshold costs -42.2b (-229.4%)

Counts
2 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

15.0ms
y
15.0ms
z
9.0ms
x
Results
ErrorSegmentsBranch
18.4b3x
29.4b5y
28.5b5z
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.30530273105918854
79.07673279483495
23.0ms
-15049.729131852737
-7.6053576428713905
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify107.0ms (1%)

Algorithm
1×egg-herbie
Rules
122×cancel-sign-sub-inv_binary64
110×sub-neg_binary64
102×distribute-rgt-neg-in_binary64
66×neg-sub0_binary64
66×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118771
1190771
2256771
3299771
4346771
5385771
6423771
7461771
8550771
9665771
10777771
11887771
121000771
131079771
141136771
151168771
161189771
171192771
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -8562871461613737/1125899906842624) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -1048576000000000000/2097152) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 z -3100000000000000039690241857663573045651337505777081985035470709908973641822576248832575805614084887704391122944) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z 83487277876812674309845493058524096341359967862784) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z 1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (*.f64 (/.f64 x y) z))))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 x (/.f64 y z))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 5631841344853427200/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 x y))
Outputs
(if (<=.f64 x -8562871461613737/1125899906842624) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -8562871461613737/1125899906842624) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (+.f64 (/.f64 (*.f64 x (+.f64 z -1)) y) (*.f64 -4 (/.f64 1 y)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -8562871461613737/1125899906842624) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (+.f64 (/.f64 (*.f64 x (+.f64 z -1)) y) (*.f64 (/.f64 1 y) -4))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -8562871461613737/1125899906842624) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (+.f64 (/.f64 (*.f64 x (+.f64 z -1)) y) (*.f64 4 (/.f64 -1 y)))) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -1048576000000000000/2097152) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) -500000000000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) -500000000000) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))) 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -100000000000000007517448691651820862747142906435240821348290910235776592524241520466454110109775803542826595503885252632667750400) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y))) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 z x) y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (-.f64 (/.f64 4 y) (/.f64 (*.f64 x z) y))) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (-.f64 (/.f64 -4 y) (/.f64 x y))) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 x -1498172260886827/20769187434139310514121985316880384) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 2032534884031333/2199023255552) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 z -3100000000000000039690241857663573045651337505777081985035470709908973641822576248832575805614084887704391122944) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z 83487277876812674309845493058524096341359967862784) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z 1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (*.f64 (/.f64 x y) z))))))
(if (<=.f64 z -3100000000000000039690241857663573045651337505777081985035470709908973641822576248832575805614084887704391122944) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 83487277876812674309845493058524096341359967862784) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (*.f64 z (/.f64 x y)))))))
(if (<=.f64 z -3100000000000000039690241857663573045651337505777081985035470709908973641822576248832575805614084887704391122944) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 83487277876812674309845493058524096341359967862784) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048) (fabs.f64 (/.f64 4 y)) (fabs.f64 (*.f64 z (/.f64 x y)))))))
(if (<=.f64 z -3100000000000000039690241857663573045651337505777081985035470709908973641822576248832575805614084887704391122944) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 83487277876812674309845493058524096341359967862784) (fabs.f64 (/.f64 (+.f64 x 4) y)) (if (<=.f64 z 52000000000000002534081210426466904797218788491663607952146151870806368464547969861295307458031007741051887298428872709578736544258195456) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z 1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048) (fabs.f64 (/.f64 4 y)) (fabs.f64 (*.f64 z (/.f64 x y)))))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 x (/.f64 y z))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 x (/.f64 y z))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 562617075294085/18446744073709551616) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 95000000000000002101437891039374654615211109071703386965670207946752) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 5631841344853427200/18446744073709551616) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x y))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 5499845063333425/18014398509481984) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x y))))
(if (<=.f64 x -8273676087675645/549755813888) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 5499845063333425/18014398509481984) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 x y))
Compiler

Compiled 559 to 344 computations (38.5% saved)

soundness225.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1141×fma-def_binary64
1073×fma-neg_binary64
228×cancel-sign-sub-inv_binary64
224×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527316
644416
774516
8178613
9364013
10474013
11493613
12503313
13503313
Stop Event
1×saturated
Compiler

Compiled 231 to 162 computations (29.9% saved)

end223.0ms (2.2%)

Compiler

Compiled 517 to 259 computations (49.9% saved)

Profiling

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