Details

Time bar (total: 5.8s)

analyze227.0ms (3.9%)

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

Compiled 16 to 11 computations (31.3% saved)

sample1.5s (26.5%)

Results
1.3s8256×body256valid
268.0ms1689×body256invalid

preprocess79.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02872
17172
215472
326972
447464
589664
6141464
7230764
8654852
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 y (/.f64 x z)) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (fma.f64 (/.f64 z x) y (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (*.f64 (/.f64 -1 x) (fma.f64 y z (-.f64 -4 y))))
(fabs.f64 (/.f64 (fma.f64 y z (-.f64 -4 y)) x))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x (/.f64 y z)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (*.f64 (/.f64 -1 z) (fma.f64 x y (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x y (-.f64 -4 x)) z))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify88.0ms (1.5%)

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

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527316
644416
774516
8178613
9364013
10474013
11493613
12503313
13503313
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))

eval1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶3.1b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶2.2b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓2.8b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series13.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite77.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123620
2355420
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 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(/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) 1) z (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y))))))

simplify102.0ms (1.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
033880
196820
2217820
3537820
41265631
52888631
63604631
73788631
83863631
93863631
Stop Event
1×saturated
Counts
225 → 169
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.9b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series7.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite60.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify99.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

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

eval90.0ms (1.5%)

Compiler

Compiled 5139 to 2739 computations (46.7% saved)

prune44.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New24911260
Fresh000
Picked101
Done011
Total25012262
Error
0b
Counts
262 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
45.5b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶2.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶46.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
30.1b
(fabs.f64 (/.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y)))
18.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶34.1b
(fabs.f64 (/.f64 4 y))
3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
3.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 1 (/.f64 y (*.f64 x z)))))
✓2.2b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶45.5b
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
30.2b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
▶31.3b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
Compiler

Compiled 283 to 198 computations (30% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
✓2.8b
(/.f64 z (/.f64 y x))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite93.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify105.0ms (1.8%)

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

Useful iterations: 4 (0.0ms)

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

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.8b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite57.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
712×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
217317
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
41 → 41
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.2b
(*.f64 x (/.f64 (neg.f64 z) y))
Compiler

Compiled 25 to 7 computations (72% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite77.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
626×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221507
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (/.f64 (neg.f64 z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify41.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
57 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 z 1) x)
✓2.9b
(/.f64 (*.f64 (-.f64 z 1) x) y)
Compiler

Compiled 30 to 18 computations (40% saved)

series8.0ms (0.1%)

Counts
2 → 24
Calls

15 calls:

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

rewrite85.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
947×pow1_binary64
881×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
863×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2235617
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z 1) x) y)
(*.f64 (-.f64 z 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 y x)) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 z -1) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 z -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 z -1) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 z -1) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (+.f64 z -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 z -1) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 z -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) -1) x) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) x) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 z 3) -1)) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 z -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z -1) x)))))))

simplify134.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
771×fma-def_binary64
388×fma-neg_binary64
116×cancel-sign-sub-inv_binary64
74×associate-/l*_binary64
74×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012229
125211
245211
362184
4105184
5180184
6421184
7919184
81808184
92250184
102414184
Stop Event
1×saturated
Counts
85 → 72
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
Outputs
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))

eval132.0ms (2.3%)

Compiler

Compiled 6596 to 3046 computations (53.8% saved)

prune60.0ms (1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New3476353
Fresh246
Picked011
Done235
Total35114365
Error
0b
Counts
365 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
45.5b
(fabs.f64 (*.f64 z (/.f64 x y)))
✓2.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶18.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓34.1b
(fabs.f64 (/.f64 4 y))
46.7b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 x z))))
46.7b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
45.4b
(fabs.f64 (/.f64 x (/.f64 y z)))
▶3.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓46.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
▶46.2b
(fabs.f64 (/.f64 (neg.f64 x) y))
▶30.2b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
✓31.3b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
▶45.5b
(fabs.f64 (*.f64 (/.f64 z y) x))
30.2b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y)))
Compiler

Compiled 248 to 178 computations (28.2% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
✓2.9b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series11.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@0
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
z
@inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite93.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify134.0ms (2.3%)

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

Useful iterations: 4 (0.0ms)

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

localize6.0ms (0.1%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.2b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (/.f64 z y) x)
0.0ms
z
@0
(*.f64 (/.f64 z y) x)
0.0ms
z
@inf
(*.f64 (/.f64 z y) x)
0.0ms
x
@inf
(*.f64 (/.f64 z y) x)
0.0ms
z
@-inf
(*.f64 (/.f64 z y) x)

rewrite45.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.2%)

Compiler

Compiled 20 to 13 computations (35% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 z -1) y)
✓3.3b
(*.f64 (/.f64 (+.f64 z -1) y) x)
Compiler

Compiled 30 to 18 computations (40% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite57.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
892×add-log-exp_binary64
892×log1p-expm1-u_binary64
892×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2232017
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 z -1) y) x)
(/.f64 (+.f64 z -1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z -1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 z -1) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 z -1)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 z -1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 z -1) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 z -1) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z -1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 z -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 z -1) y)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 2)) (cbrt.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (*.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 z -1) y)) (sqrt.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z -1)) (*.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 z -1)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 z -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) 1) (/.f64 (sqrt.f64 (+.f64 z -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 z -1)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 z -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 z -1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 z -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 z -1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 z -1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 z -1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 z -1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 z -1) y)))))))

simplify69.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
788×fma-def_binary64
309×fma-neg_binary64
76×cancel-sign-sub-inv_binary64
72×associate-/l*_binary64
57×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019674
135608
257608
387509
4141509
5270509
6683509
71289509
82003509
92239509
102255509
Stop Event
1×saturated
Counts
116 → 68
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 -1 y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 z y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 z y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (-.f64 z 1) y)
Outputs
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 -1 y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 z y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 z y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(-.f64 (/.f64 z y) (/.f64 1 y))
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)
(/.f64 (-.f64 z 1) y)
(/.f64 (+.f64 z -1) y)
(/.f64 (+.f64 -1 z) y)

eval129.0ms (2.2%)

Compiler

Compiled 4670 to 2637 computations (43.5% saved)

prune107.0ms (1.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New2955300
Fresh415
Picked101
Done178
Total30113314
Error
0b
Counts
314 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓2.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶45.5b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓18.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓34.1b
(fabs.f64 (/.f64 4 y))
30.2b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
▶46.7b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
✓46.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
▶3.1b
(fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y))
✓46.2b
(fabs.f64 (/.f64 (neg.f64 x) y))
✓31.3b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
✓45.5b
(fabs.f64 (*.f64 (/.f64 z y) x))
▶46.7b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
▶45.4b
(fabs.f64 (/.f64 x (/.f64 y z)))
Compiler

Compiled 196 to 141 computations (28.1% saved)

localize25.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 z) x)
✓2.9b
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

15 calls:

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

rewrite62.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
509×log-prod_binary64
305×pow-prod-down_binary64
288×pow2_binary64
270×prod-diff_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
121918
2290718
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)
(*.f64 (-.f64 1 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 z) x 4) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2)) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1 z) x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 2) (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) (*.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) (sqrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (-.f64 1 z) x 4)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (fma.f64 (-.f64 1 z) x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (-.f64 1 z) x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) 1) (/.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 1 z) x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 (-.f64 1 z) x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 (-.f64 1 z) x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 (-.f64 1 z) x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (fma.f64 (-.f64 1 z) x 4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1 z) x 4) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 (-.f64 1 z) x 4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (-.f64 1 z) x 4) y)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 z) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z)))))))

simplify91.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1100×fma-def_binary64
705×fma-neg_binary64
159×cancel-sign-sub-inv_binary64
118×distribute-rgt-in_binary64
93×unsub-neg_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
030494
167467
2134377
3228377
4461377
5982377
62114323
73147323
83759323
93795323
103795323
Stop Event
1×saturated
Counts
118 → 98
Calls
Call 1
Inputs
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 z x)) x)
Outputs
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 z (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 z (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 (fma.f64 (neg.f64 z) x x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 (fma.f64 (neg.f64 z) x x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x)))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(fma.f64 (/.f64 x y) (-.f64 1 z) (/.f64 4 y))
(*.f64 (/.f64 1 y) (-.f64 x (fma.f64 x z -4)))
(/.f64 (-.f64 x (fma.f64 x z -4)) y)
x
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 x z))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.9b
(/.f64 x (/.f64 y z))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite50.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219157
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 x (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 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 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify47.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
77 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.8b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.9b
(*.f64 (/.f64 1 y) (*.f64 z x))
Compiler

Compiled 28 to 14 computations (50% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite71.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
761×pow1_binary64
700×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
11597
219407
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (/.f64 y (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z x)) (/.f64 y (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (*.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
62 → 27
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.9b
(/.f64 1 (/.f64 y (*.f64 z x)))
✓6.6b
(/.f64 y (*.f64 z x))
Compiler

Compiled 30 to 11 computations (63.3% saved)

series8.0ms (0.1%)

Counts
2 → 36
Calls

18 calls:

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

rewrite56.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
871×pow1_binary64
806×add-log-exp_binary64
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
787×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116614
2222014
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 y (*.f64 z x))
(/.f64 1 (/.f64 y (*.f64 z x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2) (cbrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) (sqrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (/.f64 y (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (cbrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z x))) (/.f64 y (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 z x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 z x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y z))))))))

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
119 → 85
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

eval67.0ms (1.1%)

Compiler

Compiled 3605 to 1866 computations (48.2% saved)

prune73.0ms (1.2%)

Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New2981299
Fresh011
Picked011
Done01111
Total29814312
Error
0b
Counts
312 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓2.1b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓45.5b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓18.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓34.1b
(fabs.f64 (/.f64 4 y))
30.2b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
✓46.7b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
✓46.7b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓3.1b
(fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y))
19.2b
(fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y))
✓46.2b
(fabs.f64 (/.f64 (neg.f64 x) y))
✓31.3b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
✓45.5b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓46.7b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
✓45.4b
(fabs.f64 (/.f64 x (/.f64 y z)))
Compiler

Compiled 144 to 104 computations (27.8% saved)

regimes200.0ms (3.4%)

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

5 calls:

82.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
62.0ms
x
24.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
15.0ms
z
12.0ms
y
Results
ErrorSegmentsBranch
1.1b2x
2.1b1y
2.1b1z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
0.1b3(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 256 to 144 computations (43.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.377747914923432e+27
8.556184685447416e+30
0.0ms
-4.107012557327685e+137
-3.236426967627613e+137
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes79.0ms (1.4%)

Counts
20 → 2
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 x z))))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 4 y))
Outputs
(fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y)))
Calls

3 calls:

51.0ms
x
12.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
1.1b2x
3.1b1y
3.1b1z
Compiler

Compiled 160 to 91 computations (43.1% saved)

bsearch24.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
13301900067.334532
4.259104438150139e+22
Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes197.0ms (3.4%)

Counts
17 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 x z))))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 4 y))
Outputs
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
Calls

3 calls:

124.0ms
y
41.0ms
x
27.0ms
z
Results
ErrorSegmentsBranch
1.4b3x
11.0b10y
4.3b3z
Compiler

Compiled 130 to 73 computations (43.8% saved)

bsearch60.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.0035918931347239122
436.142648010635
37.0ms
-1.1924074597898065e-9
-1.4708124495353792e-12
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes110.0ms (1.9%)

Counts
10 → 3
Calls
Call 1
Inputs
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 4 y))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y z)))
Calls

3 calls:

77.0ms
y
24.0ms
z
6.0ms
x
Results
ErrorSegmentsBranch
18.7b1x
15.1b7y
9.6b3z
Compiler

Compiled 73 to 41 computations (43.8% saved)

bsearch58.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
1.4394440538083371e+76
1.7846987412119566e+76
24.0ms
-4.750997175531537e+82
-4.464303071055197e+82
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes48.0ms (0.8%)

Accuracy

Total -40.8b remaining (-207%)

Threshold costs -40.8b (-207%)

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

3 calls:

19.0ms
z
17.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
19.7b3x
30.3b6y
29.9b5z
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch46.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.0035918931347239122
436.142648010635
23.0ms
-975.5834168698973
-1.1924074597898065e-9
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
23×+-commutative_binary64
20×sub-neg_binary64
15×*-commutative_binary64
14×fabs-div_binary64
12×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078247
1137241
2181241
3209241
4223241
5237241
6241241
7243241
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 9999999999999999583119736832) (fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x 409600000000000000000000/4096) (fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))
(if (<=.f64 x -5766128662563959/4835703278458516698824704) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 66258733396366352/18446744073709551616) (fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y)) (fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))))
(if (<=.f64 z -47509971755315366976808638072737555212939974861513298056094387527057038190028259328) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 z 14394440538083370818254085749923420377955972390286750698505820593958034604032) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 x -4290661242855571/4398046511104) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 66258733396366352/18446744073709551616) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
Outputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 9999999999999999583119736832) (fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x 409600000000000000000000/4096) (fabs.f64 (/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y)) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))
(if (<=.f64 x 100000000000000000000) (fabs.f64 (/.f64 (+.f64 4 (*.f64 x (-.f64 1 z))) y)) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))))
(if (<=.f64 x -5766128662563959/4835703278458516698824704) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 66258733396366352/18446744073709551616) (fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y)) (fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))))
(if (<=.f64 x -5766128662563959/4835703278458516698824704) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 4141170837272897/1152921504606846976) (fabs.f64 (/.f64 (+.f64 4 (*.f64 x (neg.f64 z))) y)) (fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))))
(if (<=.f64 x -5766128662563959/4835703278458516698824704) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 4141170837272897/1152921504606846976) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))))
(if (<=.f64 z -47509971755315366976808638072737555212939974861513298056094387527057038190028259328) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 z 14394440538083370818254085749923420377955972390286750698505820593958034604032) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 z -47509971755315366976808638072737555212939974861513298056094387527057038190028259328) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 z 14394440538083370818254085749923420377955972390286750698505820593958034604032) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 x -4290661242855571/4398046511104) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 66258733396366352/18446744073709551616) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -4290661242855571/4398046511104) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4141170837272897/1152921504606846976) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -4290661242855571/4398046511104) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4141170837272897/1152921504606846976) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y))))
Compiler

Compiled 176 to 111 computations (36.9% saved)

soundness233.0ms (4%)

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

Useful iterations: 8 (0.0ms)

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

Compiled 231 to 162 computations (29.9% saved)

end111.0ms (1.9%)

Compiler

Compiled 164 to 94 computations (42.7% saved)

Profiling

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