Details

Time bar (total: 11.4s)

analyze303.0ms (2.7%)

Algorithm
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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
21.1%74.5%4.4%10
25.4%69.8%4.8%11
30.6%64.2%5.2%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.2s (19.1%)

Results
1.9s8256×body256valid
227.0ms1629×body256invalid

preprocess86.0ms (0.8%)

Algorithm
egg-herbie
Rules
738×fma-def_binary64
512×times-frac_binary64
390×distribute-frac-neg_binary64
340×distribute-rgt-neg-in_binary64
276×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02564
16964
217856
358156
4172956
5593644
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(/.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 z 4))
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 z 4))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 y x) (*.f64 z 1/2))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 y (fma.f64 z 1/2 x)) z))
(fma.f64 (-.f64 y x) (/.f64 4 z) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 z (+.f64 y (*.f64 x 1/2)))))
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(fma.f64 (-.f64 z y) (/.f64 4 x) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 4 (/.f64 (fma.f64 y -1/2 (-.f64 x z)) y))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y))
(fma.f64 (-.f64 x z) (/.f64 4 y) -2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify59.0ms (0.5%)

Algorithm
egg-herbie
Rules
925×fma-neg_binary64
796×fma-def_binary64
768×times-frac_binary64
456×cancel-sign-sub-inv_binary64
435×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25914
318414
451614
5166811
6605611
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 (-.f64 (fma.f64 z -1/2 x) y) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

eval1.0ms (0%)

Compiler

Compiled 22 to 14 computations (36.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.2b
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
Compiler

Compiled 25 to 18 computations (28% saved)

localize42.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@0
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@-inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
z
@inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

rewrite99.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
649×log-prod_binary64
434×fma-def_binary64
342×pow2_binary64
250×fma-neg_binary64
235×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01116
125516
2370214
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (*.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) 1) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) 1) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 2 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))) 1))))))

simplify102.0ms (0.9%)

Algorithm
egg-herbie
Rules
653×fma-def_binary64
598×fma-neg_binary64
520×div-sub_binary64
349×times-frac_binary64
305×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032606
179550
2161545
3278545
4498356
5865353
61865353
73003353
85255353
97107353
Stop Event
node limit
Counts
85 → 66
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (+.f64 1/2 (/.f64 y z))) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
Outputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (fma.f64 1/2 z y) z))
(*.f64 (fma.f64 1/2 z y) (/.f64 -4 z))
(fma.f64 -4 (/.f64 y z) -2)
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 4 (/.f64 x z)) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
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(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
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(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
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(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
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(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (-.f64 (/.f64 x z) 1/2)))
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-2
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(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
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(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
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(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
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(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
Compiler

Compiled 22 to 12 computations (45.5% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms
x
@0
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms
y
@0
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms
z
@0
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
0.0ms
z
@inf
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

rewrite105.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
509×unpow-prod-down_binary64
418×log-prod_binary64
368×prod-diff_binary64
257×pow2_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
119911
2255011
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (-.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) 4) (fma.f64 (-.f64 x y) (/.f64 4 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1) 1))))))

simplify142.0ms (1.2%)

Algorithm
egg-herbie
Rules
854×fma-def_binary64
667×fma-neg_binary64
238×cancel-sign-sub-inv_binary64
136×distribute-rgt-in_binary64
84×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020515
143461
281461
3124353
4230353
5440353
6911353
71818353
82829353
93186353
103276353
113441353
123441353
Stop Event
saturated
Counts
73 → 50
Calls
Call 1
Inputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
Outputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(fma.f64 -4 (/.f64 y z) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

eval39.0ms (0.3%)

Compiler

Compiled 1593 to 1025 computations (35.7% saved)

prune29.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10511116
Fresh000
Picked101
Done101
Total10711118
Error
0.0b
Counts
118 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
25.1b
(*.f64 4 (/.f64 (-.f64 x y) z))
45.6b
(/.f64 (*.f64 -4 y) z)
45.6b
(/.f64 -4 (/.f64 z y))
17.8b
(fma.f64 x (/.f64 4 z) -2)
17.7b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
42.6b
(*.f64 4 (/.f64 x z))
42.7b
(*.f64 x (/.f64 4 z))
0.0b
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
20.9b
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
37.7b
-2
34.5b
(*.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
Compiler

Compiled 212 to 158 computations (25.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
0.0b
(*.f64 4 (/.f64 x z))
0.0b
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
0.0b
(*.f64 -4 (/.f64 y z))
Compiler

Compiled 49 to 24 computations (51% saved)

series16.0ms (0.1%)

Counts
4 → 30
Calls

30 calls:

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

rewrite115.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
707×log-prod_binary64
544×fma-def_binary64
314×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
129743
2411143
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
Outputs
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(sqrt.f64 (/.f64 x z)) 4) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (sqrt.f64 (/.f64 (*.f64 -4 y) z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 x z) 3) 64 (pow.f64 (/.f64 (*.f64 -4 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (-.f64 (*.f64 4 (/.f64 x z)) (/.f64 (*.f64 -4 y) z)) (pow.f64 (/.f64 (*.f64 -4 y) z) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -4 y) z) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (/.f64 (-.f64 (*.f64 -4 y) (*.f64 4 x)) z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 y) (/.f64 1 z) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 y) (/.f64 1 z) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 x) (/.f64 1 z) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (/.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (/.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (cbrt.f64 (*.f64 z z))) (/.f64 y (cbrt.f64 z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (cbrt.f64 (*.f64 z z))) (/.f64 x (cbrt.f64 z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (fma.f64 -4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (fma.f64 -4 (/.f64 y z) -2))))))

simplify92.0ms (0.8%)

Algorithm
egg-herbie
Rules
718×fma-neg_binary64
530×fma-def_binary64
174×cancel-sign-sub-inv_binary64
102×div-sub_binary64
97×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
025276
148276
283273
3121273
4197257
5334257
6685251
71341251
82272251
92802251
102949251
113086251
123092251
133092251
Stop Event
saturated
Counts
248 → 231
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
-2
-2
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
Outputs
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(*.f64 -4 (/.f64 y z))
(/.f64 y (/.f64 z -4))
(*.f64 -4 (/.f64 y z))
(/.f64 y (/.f64 z -4))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(/.f64 y (/.f64 z -4))
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 y (/.f64 z -4))
(*.f64 -4 (/.f64 y z))
(/.f64 y (/.f64 z -4))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 (*.f64 -4 (-.f64 y x)) z)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 y x) z) -4)
(*.f64 4 (/.f64 (-.f64 x y) z))
-2
-2
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2)
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2)
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2)
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z))
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z))
(fma.f64 (/.f64 4 z) (-.f64 x y) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2)
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2)
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2)
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z))
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z))
(fma.f64 (/.f64 4 z) (-.f64 x y) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(fma.f64 -1 (/.f64 (fma.f64 4 y (*.f64 x -4)) z) -2)
(+.f64 (/.f64 (fma.f64 4 x (*.f64 -4 y)) z) -2)
(+.f64 (/.f64 (fma.f64 -4 y (*.f64 4 x)) z) -2)
(+.f64 -2 (/.f64 (*.f64 -4 (-.f64 y x)) z))
(-.f64 -2 (/.f64 (*.f64 4 (-.f64 y x)) z))
(fma.f64 (/.f64 4 z) (-.f64 x y) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(fma.f64 -4 (/.f64 y z) -2)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 4 (/.f64 x z))
Compiler

Compiled 14 to 7 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.7b
(/.f64 -4 (/.f64 z y))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite104.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
698×pow1_binary64
653×add-log-exp_binary64
653×log1p-expm1-u_binary64
653×expm1-log1p-u_binary64
640×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
217727
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 -4 (/.f64 z y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))))

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
50 → 26
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 8 computations (63.6% saved)

series19.0ms (0.2%)

Counts
2 → 48
Calls

18 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(/.f64 (-.f64 x y) z)
2.0ms
x
@-inf
(*.f64 4 (/.f64 (-.f64 x y) z))
1.0ms
x
@-inf
(/.f64 (-.f64 x y) z)
1.0ms
z
@-inf
(/.f64 (-.f64 x y) z)
1.0ms
x
@0
(/.f64 (-.f64 x y) z)

rewrite234.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
541×prod-diff_binary64
472×log-prod_binary64
366×exp-prod_binary64
271×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118217
2262317
Stop Event
node limit
Counts
2 → 217
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) z)
(*.f64 4 (/.f64 (-.f64 x y) z))
Outputs
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z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) (neg.f64 (*.f64 (/.f64 1 z) y))) (fma.f64 (neg.f64 (/.f64 1 z)) y (*.f64 (/.f64 1 z) y)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 4) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (-.f64 x y) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1) 1))))))

simplify256.0ms (2.2%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
455×fma-neg_binary64
146×cancel-sign-sub-inv_binary64
127×distribute-rgt-in_binary64
102×associate-*l*_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
014522
128504
247504
365504
482504
5112504
6170504
7243486
8392486
9713432
101382378
112304378
122646378
132901378
142905378
152905378
Stop Event
saturated
Counts
265 → 228
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
Outputs
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
0.0b
(*.f64 4 (/.f64 x z))
Compiler

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 4 (/.f64 x z)) 2)
0.0ms
x
@-inf
(-.f64 (*.f64 4 (/.f64 x z)) 2)
0.0ms
x
@inf
(-.f64 (*.f64 4 (/.f64 x z)) 2)
0.0ms
z
@inf
(-.f64 (*.f64 4 (/.f64 x z)) 2)
0.0ms
z
@0
(-.f64 (*.f64 4 (/.f64 x z)) 2)

rewrite85.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
933×pow1_binary64
873×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
858×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11808
222988
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (/.f64 1 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (/.f64 1 (fma.f64 4 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8))) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (/.f64 x z) 2) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8) (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (-.f64 4 (*.f64 (*.f64 4 (/.f64 x z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (fma.f64 4 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4) (-.f64 (*.f64 4 (/.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x z) 3) 64) -8)) (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) (+.f64 4 (*.f64 (/.f64 x z) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2) -4)) (neg.f64 (fma.f64 4 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 x z)) -2)))) (#(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))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) -2)))))

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
saturated
Counts
38 → 34
Calls
Call 1
Inputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
-2
-2
Outputs
-2
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
-2
-2

eval593.0ms (5.2%)

Compiler

Compiled 12122 to 6076 computations (49.9% saved)

prune98.0ms (0.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5636569
Fresh336
Picked011
Done134
Total56713580
Error
0b
Counts
580 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
25.1b
(*.f64 4 (/.f64 (-.f64 x y) z))
45.6b
(/.f64 (*.f64 -4 y) z)
25.1b
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
42.6b
(*.f64 4 (/.f64 x z))
37.7b
-2
42.7b
(/.f64 4 (/.f64 z x))
45.6b
(/.f64 -4 (/.f64 z y))
17.8b
(fma.f64 x (/.f64 4 z) -2)
17.7b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
20.9b
(-.f64 (/.f64 y (/.f64 z -4)) 2)
0.1b
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
0.1b
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2)
45.6b
(*.f64 (/.f64 -4 z) y)
Compiler

Compiled 214 to 161 computations (24.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
0.0b
(*.f64 4 (/.f64 x z))
0.0b
(+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z)))
0.7b
(/.f64 -4 (/.f64 z y))
Compiler

Compiled 49 to 24 computations (51% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z)))
0.0ms
z
@-inf
(+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z)))
0.0ms
z
@0
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
0.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
0.0ms
y
@-inf
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)

rewrite89.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
722×log-prod_binary64
539×fma-def_binary64
316×fma-neg_binary64
268×expm1-udef_binary64
268×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01335
130329
2431129
Stop Event
node limit
Counts
2 → 163
Calls
Call 1
Inputs
(+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z)))
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))) (/.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2)) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z))) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2)) (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z))) (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (fma.f64 16 (pow.f64 (/.f64 x z) 2) (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 -4 (*.f64 (/.f64 y z) (*.f64 4 (/.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64))) (neg.f64 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2)))) (neg.f64 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -4 z (*.f64 (/.f64 z y) (*.f64 4 x))) (*.f64 (/.f64 z y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 z (*.f64 (/.f64 (neg.f64 z) y) (*.f64 4 x))) (*.f64 (/.f64 (neg.f64 z) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (*.f64 (*.f64 (/.f64 z y) -1/4) (*.f64 4 x))) (*.f64 (*.f64 (/.f64 z y) -1/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 4 x) (/.f64 z y) (*.f64 z -4)) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 4 x) (/.f64 (neg.f64 z) y) (*.f64 z 4)) (*.f64 z (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 4 x) (*.f64 (/.f64 z y) -1/4) z) (*.f64 z (*.f64 (/.f64 z y) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16 (pow.f64 (/.f64 x z) 2)) (pow.f64 (*.f64 y 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(pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (cbrt.f64 (*.f64 y (/.f64 -4 z))) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -4 z))) 2) (cbrt.f64 (*.f64 y (/.f64 -4 z))) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2) (fma.f64 y (/.f64 -4 z) -2))))) (#(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))) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (*.f64 y (/.f64 -4 z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) 4) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) (sqrt.f64 (*.f64 y (/.f64 -4 z))) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 -4 z))) (sqrt.f64 (*.f64 y (/.f64 -4 z))) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -64 (pow.f64 (/.f64 y z) 3) (*.f64 (pow.f64 (/.f64 x z) 3) 64)) (/.f64 1 (fma.f64 (*.f64 4 (/.f64 x z)) (fma.f64 4 (/.f64 x z) (neg.f64 (*.f64 y (/.f64 -4 z)))) (pow.f64 (*.f64 y (/.f64 -4 z)) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) -4 (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) -4 (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 -4 z)) 2) (*.f64 16 (pow.f64 (/.f64 x z) 2))) (/.f64 1 (fma.f64 -4 (/.f64 y z) (*.f64 -4 (/.f64 x z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 z) y (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 z) y (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 x) (/.f64 1 z) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2))) (cbrt.f64 (fma.f64 4 (/.f64 x z) -2)) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (sqrt.f64 (fma.f64 4 (/.f64 x z) -2)) (*.f64 y (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) 1) y (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 4 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 4 (/.f64 x z) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (fma.f64 y (/.f64 -4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (fma.f64 y (/.f64 -4 z) -2))))))

simplify133.0ms (1.2%)

Algorithm
egg-herbie
Rules
843×fma-neg_binary64
677×fma-def_binary64
248×cancel-sign-sub-inv_binary64
92×distribute-rgt-neg-in_binary64
84×sub-neg_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
027888
154834
297834
3140834
4237749
5427749
6999695
72152695
83037695
93235695
103292695
113337695
123337695
133337695
Stop Event
saturated
Counts
235 → 178
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
Outputs
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 (/.f64 -4 z) (-.f64 y x))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
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localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -4 z) y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
616×pow1_binary64
574×add-log-exp_binary64
574×log1p-expm1-u_binary64
574×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215627
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (/.f64 -4 z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))))

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
45 → 22
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

localize7.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 9 computations (69% saved)

series8.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite101.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
552×log-prod_binary64
384×pow-prod-down_binary64
363×fma-def_binary64
286×pow2_binary64
212×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120717
2317717
Stop Event
node limit
Counts
2 → 196
Calls
Call 1
Inputs
(-.f64 (/.f64 x z) (/.f64 y z))
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (/.f64 (neg.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (neg.f64 (/.f64 1 z)) y (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (/.f64 (neg.f64 y) z) 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (neg.f64 y) z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) (#(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 (exp.f64 (/.f64 (-.f64 x y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 y z))) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z z) (-.f64 (*.f64 x z) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)) (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x z) (*.f64 z y))) (neg.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (*.f64 (/.f64 z x) y)) (*.f64 (/.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (/.f64 z y) (neg.f64 z)) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 z y) (*.f64 (/.f64 z x) 1)) (*.f64 (/.f64 z x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 (*.f64 (neg.f64 z) 1))) (*.f64 (neg.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (neg.f64 z)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) (neg.f64 y))) (*.f64 (/.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 y))) (pow.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 (neg.f64 y) z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (pow.f64 (/.f64 (neg.f64 y) z) 2) (*.f64 (/.f64 x z) (/.f64 (neg.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 (neg.f64 y) z) 2)) (-.f64 (/.f64 x z) (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x z) (*.f64 z y)) z) z)))) (#(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 (-.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 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)))) (#(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 (/.f64 (*.f64 z z) (-.f64 (*.f64 x z) (*.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)) (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) -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 (exp.f64 (/.f64 (-.f64 x y) z)))))) (#(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 log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (exp.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 x z)) (+.f64 1 (expm1.f64 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (+.f64 1 (expm1.f64 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (exp.f64 (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (/.f64 1 (exp.f64 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 y) z)) (exp.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 y) z)) (+.f64 1 (expm1.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 y z))) (+.f64 1 (expm1.f64 (/.f64 x 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 4) (*.f64 (/.f64 (neg.f64 y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 z y)) 4) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) 4) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x z) (*.f64 z y))) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2))) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x y) z) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) z) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 (neg.f64 y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) (*.f64 4 (/.f64 (neg.f64 y) z)))))))

simplify93.0ms (0.8%)

Algorithm
egg-herbie
Rules
559×fma-def_binary64
275×fma-neg_binary64
161×distribute-rgt-in_binary64
119×distribute-lft-in_binary64
115×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023822
164702
2139702
3321582
4819582
51952582
62648582
72732582
82789582
92812582
102812582
Stop Event
saturated
Counts
268 → 209
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
Outputs
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(/.f64 x (/.f64 z 4))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(/.f64 x (/.f64 z 4))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(/.f64 x (/.f64 z 4))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 x z) 4 (*.f64 (/.f64 y z) -4))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 (-.f64 y x) (/.f64 -4 z))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (/.f64 4 z) -2)
Compiler

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 x (/.f64 4 z) -2)
0.0ms
x
@-inf
(fma.f64 x (/.f64 4 z) -2)
0.0ms
x
@inf
(fma.f64 x (/.f64 4 z) -2)
0.0ms
z
@0
(fma.f64 x (/.f64 4 z) -2)
0.0ms
z
@-inf
(fma.f64 x (/.f64 4 z) -2)

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
665×pow1_binary64
620×add-log-exp_binary64
620×log1p-expm1-u_binary64
620×expm1-log1p-u_binary64
608×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11488
216828
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x (/.f64 4 z) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 x (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (/.f64 4 z) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2) (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 3) -8) (+.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) (-.f64 4 (*.f64 (*.f64 x (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 4 z) -2)))))))

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
*-commutative_binary64
associate-/l*_binary64
+-commutative_binary64
associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
115168
221168
325168
427168
528168
Stop Event
saturated
Counts
45 → 25
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Outputs
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)

eval160.0ms (1.4%)

Compiler

Compiled 8099 to 4152 computations (48.7% saved)

prune142.0ms (1.2%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4823485
Fresh224
Picked101
Done178
Total48612498
Error
0b
Counts
498 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
25.1b
(*.f64 4 (/.f64 (-.f64 x y) z))
45.6b
(/.f64 (*.f64 -4 y) z)
25.1b
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
42.6b
(*.f64 4 (/.f64 x z))
45.6b
(/.f64 -4 (/.f64 z y))
17.7b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
20.9b
(-.f64 (/.f64 y (/.f64 z -4)) 2)
0.1b
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
37.7b
-2
42.7b
(/.f64 4 (/.f64 z x))
45.6b
(*.f64 (/.f64 -4 z) y)
28.0b
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
Compiler

Compiled 126 to 95 computations (24.6% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
0.0b
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x)))
0.4b
(/.f64 4 (/.f64 z x))
0.7b
(/.f64 -4 (/.f64 z y))
Compiler

Compiled 49 to 24 computations (51% saved)

series12.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x)))
1.0ms
z
@0
(/.f64 4 (/.f64 z x))
1.0ms
x
@0
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x)))
0.0ms
x
@-inf
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x)))
0.0ms
z
@0
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)

rewrite111.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
765×log-prod_binary64
628×fma-def_binary64
361×fma-neg_binary64
360×log-div_binary64
280×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
131436
2473036
Stop Event
node limit
Counts
3 → 208
Calls
Call 1
Inputs
(/.f64 4 (/.f64 z x))
(+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x)))
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 2) (cbrt.f64 (*.f64 x (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (/.f64 x z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 4 z))) 1))))))
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simplify136.0ms (1.2%)

Algorithm
egg-herbie
Rules
843×fma-neg_binary64
677×fma-def_binary64
248×cancel-sign-sub-inv_binary64
92×distribute-rgt-neg-in_binary64
84×sub-neg_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0271056
1541002
2971002
31401002
4236917
5426917
61000863
72153863
83037863
93235863
103292863
113337863
123337863
133337863
Stop Event
saturated
Counts
304 → 222
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
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(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
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(/.f64 (fma.f64 4 x (*.f64 -4 y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
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(/.f64 (+.f64 (*.f64 -4 y) (*.f64 4 x)) z)
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(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
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(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
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(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
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(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
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(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 y) (*.f64 -4 x)) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(*.f64 (/.f64 -4 z) y)
(*.f64 y (/.f64 -4 z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(*.f64 (/.f64 -4 z) y)
(*.f64 y (/.f64 -4 z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(fma.f64 -4 (/.f64 y z) -2)
(fma.f64 y (/.f64 -4 z) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

localize9.0ms (0.1%)

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 4 (/.f64 z x))
Compiler

Compiled 14 to 7 computations (50% saved)

localize78.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z)))
0.2b
(*.f64 x (/.f64 4 z))
10.9b
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
Compiler

Compiled 67 to 46 computations (31.3% saved)

series70.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
47.0ms
z
@inf
(*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z)))
7.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
2.0ms
z
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
2.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
1.0ms
x
@0
(*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z)))

rewrite245.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
667×log-prod_binary64
344×fma-def_binary64
337×pow2_binary64
326×prod-diff_binary64
271×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
126525
2376625
Stop Event
node limit
Counts
3 → 259
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
(*.f64 x (/.f64 4 z))
(*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 z 1/4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 x (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 4 z) -2) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 4 (fma.f64 x (/.f64 4 z) 2)))) (sqrt.f64 (/.f64 4 (fma.f64 x (/.f64 4 z) 2))) (/.f64 4 (fma.f64 x (/.f64 4 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2) (fma.f64 x (/.f64 4 z) 2)) (neg.f64 (/.f64 4 (fma.f64 x (/.f64 4 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2) (/.f64 1 (fma.f64 x (/.f64 4 z) 2)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (/.f64 4 z) 2)) 4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (/.f64 4 z) 2))) 4 (*.f64 (/.f64 1 (fma.f64 x (/.f64 4 z) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (pow.f64 (/.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 z 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 z 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 z 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 x (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 z 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 z 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 z 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z 1/4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x (*.f64 z 1/4))) (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x 4) 2) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 4) (/.f64 x (*.f64 z 1/4))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (*.f64 z 1/4)) (*.f64 x 4)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 z 1/4))) 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 z 1/4))) 1) (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 x (*.f64 z 1/4))) -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z 1/4))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 x (*.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x (*.f64 z 1/4)))) 1))))))

simplify222.0ms (1.9%)

Algorithm
egg-herbie
Rules
716×associate-/l*_binary64
482×sqr-pow_binary64
444×associate-/r*_binary64
366×unswap-sqr_binary64
357×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014648
131648
261648
3164648
4801648
54918648
65678648
75914648
86128648
96375648
106712648
117144648
127703648
Stop Event
node limit
Counts
331 → 264
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
Outputs
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 z 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 z z)))
(*.f64 16 (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 x (/.f64 z 16)))
(*.f64 x (*.f64 x (/.f64 16 (*.f64 z z))))
(*.f64 x (*.f64 16 (/.f64 x (*.f64 z z))))

eval683.0ms (6%)

Compiler

Compiled 18626 to 13451 computations (27.8% saved)

prune103.0ms (0.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New5990599
Fresh011
Picked011
Done01010
Total59912611
Error
0b
Counts
611 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
25.1b
(*.f64 4 (/.f64 (-.f64 x y) z))
45.6b
(/.f64 (*.f64 -4 y) z)
25.1b
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
42.6b
(*.f64 4 (/.f64 x z))
45.6b
(/.f64 -4 (/.f64 z y))
17.7b
(-.f64 (*.f64 4 (/.f64 x z)) 2)
20.9b
(-.f64 (/.f64 y (/.f64 z -4)) 2)
0.1b
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
37.7b
-2
42.7b
(/.f64 4 (/.f64 z x))
45.6b
(*.f64 (/.f64 -4 z) y)
28.0b
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
Compiler

Compiled 126 to 95 computations (24.6% saved)

regimes100.0ms (0.9%)

Counts
22 → 1
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 4 z)) (*.f64 x (/.f64 4 z))) 4) (-.f64 (*.f64 x (/.f64 4 z)) -2))
(fma.f64 x (/.f64 4 z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
Outputs
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
Calls

7 calls:

19.0ms
(-.f64 x y)
17.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
12.0ms
y
12.0ms
(-.f64 x y)
11.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.0b1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.0b1(-.f64 x y)
0.0b1(-.f64 x y)
Compiler

Compiled 236 to 146 computations (38.1% saved)

regimes50.0ms (0.4%)

Counts
17 → 1
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (/.f64 4 (/.f64 z x))) 2)
(-.f64 (+.f64 (/.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (/.f64 4 (/.f64 z x))) 2)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Calls

5 calls:

11.0ms
y
10.0ms
z
10.0ms
x
9.0ms
(-.f64 x y)
7.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.0b1(-.f64 x y)
Compiler

Compiled 154 to 94 computations (39% saved)

regimes178.0ms (1.6%)

Counts
13 → 3
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)))
Outputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
Calls

5 calls:

45.0ms
(-.f64 x y)
40.0ms
(-.f64 x y)
36.0ms
z
29.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
6.1b3x
9.4b3y
8.2b5z
8.9b5(-.f64 x y)
8.9b5(-.f64 x y)
Compiler

Compiled 96 to 61 computations (36.5% saved)

bsearch80.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
8.77624190708722e-59
1.347186011541319e-40
23.0ms
-1.710488097050756e-5
-1.3185564880195186e-20
Compiler

Compiled 20 to 15 computations (25% saved)

regimes256.0ms (2.2%)

Counts
10 → 5
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
Calls

5 calls:

81.0ms
y
71.0ms
(-.f64 x y)
36.0ms
x
33.0ms
z
31.0ms
(-.f64 x y)
Results
ErrorSegmentsBranch
9.0b5x
15.1b9y
9.3b5z
10.8b5(-.f64 x y)
10.8b5(-.f64 x y)
Compiler

Compiled 73 to 49 computations (32.9% saved)

bsearch404.0ms (3.5%)

Algorithm
binary-search
Steps
TimeLeftRight
97.0ms
2.6290744850114445e+176
5.299459689597119e+177
264.0ms
1.3735246554880112e+111
1.212821051861616e+119
22.0ms
2.3230470579648984e-32
6.147932232048966e-31
20.0ms
-8.39949422083017e+81
-5.669575365908686e+72
Compiler

Compiled 372 to 287 computations (22.8% saved)

regimes168.0ms (1.5%)

Counts
9 → 3
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
Outputs
(*.f64 4 (/.f64 x z))
(-.f64 (/.f64 y (/.f64 z -4)) 2)
(*.f64 4 (/.f64 x z))
Calls

3 calls:

102.0ms
z
46.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
12.5b3x
18.1b5y
16.9b7z
Compiler

Compiled 54 to 37 computations (31.5% saved)

bsearch212.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
2.6290744850114445e+176
5.299459689597119e+177
153.0ms
-6.169501849984758e+101
-3.421410129806923e+100
Compiler

Compiled 300 to 239 computations (20.3% saved)

regimes190.0ms (1.7%)

Counts
8 → 7
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
Outputs
(*.f64 4 (/.f64 x z))
-2
(/.f64 (*.f64 -4 y) z)
-2
(*.f64 4 (/.f64 x z))
-2
(*.f64 4 (/.f64 x z))
Calls

3 calls:

84.0ms
y
62.0ms
x
41.0ms
z
Results
ErrorSegmentsBranch
24.4b7x
25.1b11y
25.3b7z
Compiler

Compiled 47 to 32 computations (31.9% saved)

bsearch383.0ms (3.4%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
2.6290744850114445e+176
5.299459689597119e+177
169.0ms
2.367212110845431e+93
6.080104490688431e+93
39.0ms
1.567025529019085e-30
5.409793501763992e-15
39.0ms
-7.985577611330924e-289
-1.7125480159868036e-299
41.0ms
-9.93128714242249e-126
-1.7473489358689601e-131
39.0ms
-8.39949422083017e+81
-5.669575365908686e+72
Compiler

Compiled 188 to 159 computations (15.4% saved)

regimes122.0ms (1.1%)

Counts
6 → 7
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
Outputs
(/.f64 4 (/.f64 z x))
-2
(/.f64 (*.f64 -4 y) z)
-2
(/.f64 4 (/.f64 z x))
-2
(/.f64 4 (/.f64 z x))
Calls

3 calls:

45.0ms
y
44.0ms
x
31.0ms
z
Results
ErrorSegmentsBranch
24.5b7x
25.1b11y
25.4b7z
Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch391.0ms (3.4%)

Algorithm
binary-search
Steps
TimeLeftRight
102.0ms
2.6290744850114445e+176
5.299459689597119e+177
148.0ms
2.367212110845431e+93
6.080104490688431e+93
35.0ms
1.567025529019085e-30
5.409793501763992e-15
36.0ms
-7.985577611330924e-289
-1.7125480159868036e-299
35.0ms
-9.93128714242249e-126
-1.7473489358689601e-131
35.0ms
-8.39949422083017e+81
-5.669575365908686e+72
Compiler

Compiled 188 to 159 computations (15.4% saved)

regimes251.0ms (2.2%)

Counts
4 → 7
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
Outputs
(/.f64 4 (/.f64 z x))
-2
(*.f64 (/.f64 -4 z) y)
-2
(/.f64 4 (/.f64 z x))
-2
(/.f64 4 (/.f64 z x))
Calls

3 calls:

115.0ms
y
102.0ms
z
32.0ms
x
Results
ErrorSegmentsBranch
24.5b7x
25.2b11y
25.4b7z
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch329.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
86.0ms
2.6290744850114445e+176
5.299459689597119e+177
101.0ms
2.367212110845431e+93
6.080104490688431e+93
21.0ms
1.567025529019085e-30
5.409793501763992e-15
20.0ms
-7.985577611330924e-289
-1.7125480159868036e-299
77.0ms
-9.93128714242249e-126
-1.7473489358689601e-131
24.0ms
-8.39949422083017e+81
-5.669575365908686e+72
Compiler

Compiled 188 to 159 computations (15.4% saved)

regimes65.0ms (0.6%)

Counts
3 → 5
Calls
Call 1
Inputs
-2
-2
(/.f64 4 (/.f64 z x))
Outputs
(/.f64 4 (/.f64 z x))
-2
(/.f64 4 (/.f64 z x))
-2
(/.f64 4 (/.f64 z x))
Calls

3 calls:

28.0ms
y
18.0ms
z
17.0ms
x
Results
ErrorSegmentsBranch
26.3b5x
32.1b9y
26.9b5z
Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch230.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
89.0ms
2.6290744850114445e+176
5.299459689597119e+177
99.0ms
2.367212110845431e+93
6.080104490688431e+93
20.0ms
1.567025529019085e-30
5.409793501763992e-15
21.0ms
-8.39949422083017e+81
-5.669575365908686e+72
Compiler

Compiled 188 to 159 computations (15.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

3 calls:

4.0ms
x
4.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
37.7b1x
37.7b1y
37.7b1z
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
079436
198436
2117436
3123436
4126436
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(if (<=.f64 x -2524234893393741/147573952589676412928) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 (/.f64 y (/.f64 z -4)) 2) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (-.f64 (/.f64 y (/.f64 z -4)) 2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 (-.f64 x y) z))))))
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 x z))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (*.f64 4 (/.f64 x z))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 (/.f64 -4 z) y) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))
-2
Outputs
(-.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) 2)
(+.f64 (+.f64 (*.f64 -4 (/.f64 y z)) (*.f64 4 (/.f64 x z))) -2)
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) z)
(if (<=.f64 x -2524234893393741/147573952589676412928) (-.f64 (*.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 (/.f64 y (/.f64 z -4)) 2) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (<=.f64 x -2524234893393741/147573952589676412928) (+.f64 (*.f64 4 (/.f64 x z)) -2) (if (<=.f64 x 4962008721063073/56539106072908298546665520023773392506479484700019806659891398441363832832) (+.f64 (/.f64 y (/.f64 z -4)) -2) (+.f64 (*.f64 4 (/.f64 x z)) -2)))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (-.f64 (/.f64 y (/.f64 z -4)) 2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 (-.f64 x y) z))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 4243921348515545/182687704666362864775460604089535377456991567872) (+.f64 (/.f64 y (/.f64 z -4)) -2) (if (<=.f64 x 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (+.f64 (/.f64 y (/.f64 z -4)) -2) (*.f64 4 (/.f64 (-.f64 x y) z))))))
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (-.f64 (/.f64 y (/.f64 z -4)) 2) (*.f64 4 (/.f64 x z))))
(if (<=.f64 x -599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) (+.f64 (/.f64 y (/.f64 z -4)) -2) (*.f64 4 (/.f64 x z))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (*.f64 4 (/.f64 x z)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (*.f64 4 (/.f64 x z)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (*.f64 4 (/.f64 x z))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (/.f64 (*.f64 -4 y) z) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 (/.f64 -4 z) y) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x -7569087216706363/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -2 (if (<=.f64 x -8761973907348519/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (*.f64 y (/.f64 -4 z)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))))
(if (<=.f64 x -8399494220830170572555322166356465794997574474026415005603719176886233259101388800) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 8946134282815301/5708990770823839524233143877797980545530986496) -2 (if (<=.f64 x 2400000000000000104105512739086046575896703979884654348300257094406680350935234666259177013248) (/.f64 4 (/.f64 z x)) (if (<=.f64 x 5199999999999999588843319156466825154444522912034214249300429384634063922757086772187585289995529671819952523145394445683281192578521308231244354504374473052050484179757898399744) -2 (/.f64 4 (/.f64 z x))))))
-2
Compiler

Compiled 334 to 227 computations (32% saved)

soundness184.0ms (1.6%)

Algorithm
egg-herbie
Rules
925×fma-neg_binary64
796×fma-def_binary64
768×times-frac_binary64
456×cancel-sign-sub-inv_binary64
435×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25914
318414
451614
5166811
6605611
Stop Event
node limit
Compiler

Compiled 262 to 187 computations (28.6% saved)

end206.0ms (1.8%)

Compiler

Compiled 307 to 194 computations (36.8% saved)

Profiling

Loading profile data...