Details

Time bar (total: 8.4s)

analyze312.0ms (3.7%)

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 (17.7%)

Results
1.1s8256×body256valid
332.0ms1684×body256invalid

preprocess74.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 13 computations (27.8% saved)

simplify91.0ms (1.1%)

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
▶1.7b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶2.8b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓3.1b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series16.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(*.f64 (/.f64 x y) z)
2.0ms
x
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
y
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
x
@0
(*.f64 (/.f64 x y) z)
1.0ms
z
@0
(*.f64 (/.f64 x y) z)

rewrite93.0ms (1.1%)

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))))))

simplify171.0ms (2%)

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)

localize28.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.6b
(/.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
x
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
y
@0
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
x
@inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)

rewrite188.0ms (2.2%)

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)))))))

simplify103.0ms (1.2%)

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)

eval170.0ms (2%)

Compiler

Compiled 5139 to 2739 computations (46.7% saved)

prune45.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New25010260
Fresh000
Picked101
Done101
Total25210262
Error
0b
Counts
262 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
45.3b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶2.4b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
31.0b
(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
17.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶32.0b
(fabs.f64 (/.f64 4 y))
▶45.1b
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
31.0b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
▶32.4b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
2.8b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
▶46.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
Compiler

Compiled 214 to 152 computations (29% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
✓4.0b
(/.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
x
@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
z
@inf
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
0.0ms
z
@-inf
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))

rewrite88.0ms (1%)

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))))))

simplify136.0ms (1.6%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.6b
(/.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)

rewrite124.0ms (1.5%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.9b
(*.f64 x (/.f64 (neg.f64 z) y))
Compiler

Compiled 25 to 7 computations (72% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (0.6%)

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))))))))

simplify26.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
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)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 z 1) x)
✓2.7b
(/.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
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)
1.0ms
y
@inf
(/.f64 (*.f64 (-.f64 z 1) x) y)

rewrite66.0ms (0.8%)

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)))))))

simplify58.0ms (0.7%)

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))

eval122.0ms (1.4%)

Compiler

Compiled 6596 to 3046 computations (53.8% saved)

prune85.0ms (1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New3476353
Fresh145
Picked011
Done224
Total35013363
Error
0b
Counts
363 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
46.6b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 x z))))
46.6b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
▶2.8b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
45.3b
(fabs.f64 (*.f64 z (/.f64 x y)))
45.1b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓2.4b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶17.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓32.0b
(fabs.f64 (/.f64 4 y))
▶31.0b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
✓32.4b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
▶47.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
▶45.1b
(fabs.f64 (*.f64 (/.f64 z y) x))
32.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x)))
Compiler

Compiled 239 to 172 computations (28% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
✓2.6b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series29.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
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
z
@inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite89.0ms (1.1%)

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))))))

simplify111.0ms (1.3%)

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))

localize8.0ms (0.1%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.9b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite138.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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))

localize9.0ms (0.1%)

Compiler

Compiled 20 to 13 computations (35% saved)

localize51.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 z -1) y)
✓2.6b
(*.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
1.0ms
z
@-inf
(/.f64 (+.f64 z -1) y)
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
y
@0
(/.f64 (+.f64 z -1) y)

rewrite82.0ms (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)))))))

simplify65.0ms (0.8%)

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)

eval194.0ms (2.3%)

Compiler

Compiled 4670 to 2637 computations (43.5% saved)

prune66.0ms (0.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New2964300
Fresh325
Picked011
Done167
Total30013313
Error
0b
Counts
313 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.0b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
▶45.3b
(fabs.f64 (*.f64 (/.f64 x y) z))
▶45.1b
(fabs.f64 (/.f64 x (/.f64 y z)))
46.6b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
▶46.0b
(fabs.f64 (/.f64 z (/.f64 y x)))
▶32.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x)))
✓17.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓32.0b
(fabs.f64 (/.f64 4 y))
▶47.0b
(fabs.f64 (*.f64 (/.f64 -1 y) x))
✓32.4b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
✓47.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
✓45.1b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓2.8b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
Compiler

Compiled 188 to 136 computations (27.7% saved)

localize42.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 38 to 25 computations (34.2% saved)

series4.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite82.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
490×log-prod_binary64
431×prod-exp_binary64
376×exp-prod_binary64
343×pow-prod-down_binary64
258×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
120417
2258217
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x))
(*.f64 (+.f64 z -1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))) 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 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 (*.f64 (+.f64 z -1) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 2)) (/.f64 y (cbrt.f64 (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 y (sqrt.f64 (*.f64 (+.f64 z -1) x))))))) (#(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) (sqrt.f64 y)) (sqrt.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 -1 (*.f64 (+.f64 z -1) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z -1) x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 z -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 z -1) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 z -1) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 z -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 z -1) y)) 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 x (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (log.f64 (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (log.f64 (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (+.f64 z -1) y)) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 z -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 z 3)) x) (-.f64 (fma.f64 z z 1) (*.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 -1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) (*.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 (E.f64) (log.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) x)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) x))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 z -1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 z -1)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (+.f64 z -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (+.f64 z -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x z))))))

simplify115.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
775×fma-def_binary64
352×fma-neg_binary64
89×cancel-sign-sub-inv_binary64
67×distribute-rgt-in_binary64
66×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016508
133508
257508
382508
4145508
5250508
6652508
71383508
82145508
92317508
Stop Event
1×saturated
Counts
156 → 108
Calls
Call 1
Inputs
(/.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 (/.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 -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))
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (-.f64 z 1) x)
Outputs
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.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 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.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 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (+.f64 z -1) (/.f64 x y))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)
(*.f64 (-.f64 z 1) x)
(*.f64 (+.f64 z -1) x)
(-.f64 (*.f64 z x) x)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
577×pow1_binary64
529×add-log-exp_binary64
529×log1p-expm1-u_binary64
529×expm1-log1p-u_binary64
518×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11216
214546
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (neg.f64 y))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
8×sub-neg_binary64
4×+-commutative_binary64
4×fma-neg_binary64
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
110144
217144
323144
429144
537144
645144
755144
863144
977144
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
Outputs
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.1b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 20 to 6 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.2b
(/.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
z
@-inf
(/.f64 x (/.f64 y z))
0.0ms
y
@-inf
(/.f64 x (/.f64 y z))
0.0ms
x
@-inf
(/.f64 x (/.f64 y z))
0.0ms
y
@inf
(/.f64 x (/.f64 y z))

rewrite97.0ms (1.2%)

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))))))))

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
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
4.0b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

eval69.0ms (0.8%)

Compiler

Compiled 2794 to 1526 computations (45.4% saved)

prune49.0ms (0.6%)

Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New2480248
Fresh011
Picked011
Done01111
Total24813261
Error
0b
Counts
261 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.0b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
✓45.3b
(fabs.f64 (*.f64 (/.f64 x y) z))
✓45.1b
(fabs.f64 (/.f64 x (/.f64 y z)))
46.6b
(fabs.f64 (/.f64 1 (/.f64 y (*.f64 z x))))
✓46.0b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓32.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x)))
✓17.8b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓32.0b
(fabs.f64 (/.f64 4 y))
✓47.0b
(fabs.f64 (*.f64 (/.f64 -1 y) x))
✓32.4b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
✓47.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
✓45.1b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓2.8b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
Compiler

Compiled 128 to 93 computations (27.3% saved)

regimes220.0ms (2.6%)

Counts
22 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 -1 y) x))
(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 -4 x) y))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(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 (/.f64 1 y) (*.f64 (+.f64 z -1) x)))
(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

63.0ms
x
49.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
37.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
34.0ms
z
26.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
1.7b1y
1.7b1z
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 211 to 121 computations (42.7% saved)

bsearch115.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
2.6073609483611617e-123
1.5637206584760583e-122
79.0ms
-11.134054139803297
-6.101961582201635e-5
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes180.0ms (2.1%)

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

3 calls:

72.0ms
z
50.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
0.8b2x
2.4b1y
1.3b3z
Compiler

Compiled 161 to 92 computations (42.9% saved)

bsearch54.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
53.0ms
-9039443606992.223
-32932943.617258128
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes111.0ms (1.3%)

Counts
19 → 2
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 -1 y) x))
(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 -4 x) y))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(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 (/.f64 1 y) (*.f64 (+.f64 z -1) x)))
(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
Outputs
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
Calls

3 calls:

44.0ms
z
38.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
0.9b2x
2.8b1y
2.8b1z
Compiler

Compiled 149 to 87 computations (41.6% saved)

bsearch39.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
39.0ms
-9039443606992.223
-32932943.617258128
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes159.0ms (1.9%)

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

3 calls:

72.0ms
z
43.0ms
y
36.0ms
x
Results
ErrorSegmentsBranch
8.6b3x
15.2b3y
9.0b3z
Compiler

Compiled 139 to 82 computations (41% saved)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.313683191112133e-58
2.0192400236873078e-58
24.0ms
-2.9794420330140266e-8
-6.082290047654471e-15
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes165.0ms (2%)

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

3 calls:

74.0ms
z
35.0ms
y
33.0ms
x
Results
ErrorSegmentsBranch
8.6b3x
15.2b3y
9.0b3z
Compiler

Compiled 129 to 77 computations (40.3% saved)

bsearch74.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
1.313683191112133e-58
2.0192400236873078e-58
51.0ms
-2.9794420330140266e-8
-6.082290047654471e-15
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes381.0ms (4.5%)

Counts
14 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 -1 y) x))
(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 -4 x) y))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(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)))
Outputs
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y z)))
Calls

3 calls:

161.0ms
x
79.0ms
y
54.0ms
z
Results
ErrorSegmentsBranch
15.5b5x
16.6b3y
9.0b3z
Compiler

Compiled 103 to 60 computations (41.7% saved)

bsearch123.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
66.0ms
2.622611376908689e+19
6.768558759533851e+21
57.0ms
-2.0145836318104272e+44
-2.115564866029673e+42
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes154.0ms (1.8%)

Counts
8 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 -1 y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

3 calls:

65.0ms
z
47.0ms
x
37.0ms
y
Results
ErrorSegmentsBranch
15.9b6x
28.1b4y
19.9b7z
Compiler

Compiled 60 to 36 computations (40% saved)

bsearch292.0ms (3.5%)

Algorithm
5×binary-search
Steps
TimeLeftRight
22.0ms
5.4703494810948347e-8
209908946.9500657
22.0ms
3.2264613284410626e-34
1.85228492195576e-30
21.0ms
1.313683191112133e-58
2.0192400236873078e-58
22.0ms
-2.9794420330140266e-8
-6.082290047654471e-15
204.0ms
-1.3800174498955809e+41
-5.441489453937851e+31
Compiler

Compiled 192 to 141 computations (26.6% saved)

regimes105.0ms (1.3%)

Counts
5 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 -1 y) x))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

3 calls:

52.0ms
z
33.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
15.9b6x
28.4b4y
20.1b7z
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch540.0ms (6.4%)

Algorithm
5×binary-search
Steps
TimeLeftRight
41.0ms
5.4703494810948347e-8
209908946.9500657
42.0ms
3.2264613284410626e-34
1.85228492195576e-30
40.0ms
1.313683191112133e-58
2.0192400236873078e-58
42.0ms
-2.9794420330140266e-8
-6.082290047654471e-15
373.0ms
-1.3800174498955809e+41
-5.441489453937851e+31
Compiler

Compiled 192 to 141 computations (26.6% saved)

regimes78.0ms (0.9%)

Accuracy

Total -42.2b remaining (-229.9%)

Threshold costs -42.2b (-229.9%)

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

3 calls:

32.0ms
z
31.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
18.4b3x
30.9b2y
28.8b5z
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch97.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
50.0ms
5.4703494810948347e-8
209908946.9500657
47.0ms
-11.134054139803297
-6.101961582201635e-5
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify84.0ms (1%)

Algorithm
1×egg-herbie
Rules
25×+-commutative_binary64
24×sub-neg_binary64
15×*-commutative_binary64
14×fabs-mul_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082459
1130447
2180447
3210447
4233447
5250447
6255447
7257447
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 7762456188866603/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -2314097563390009/256) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -2314097563390009/256) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))))
(if (<=.f64 z -201458363181042724113785361089412923815624704) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 26226113769086889984) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(fabs.f64 (/.f64 4 y))
Outputs
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 7762456188866603/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -2314097563390009/256) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -2314097563390009/256) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -2314097563390009/256) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))))
(if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (*.f64 x (/.f64 (+.f64 z -1) y)))))
(if (<=.f64 z -201458363181042724113785361089412923815624704) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 26226113769086889984) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 z -201458363181042724113785361089412923815624704) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 26226113769086889984) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (/.f64 x (/.f64 y z)))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))))
(if (<=.f64 x -55000000000000000249229435994112) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -4502405502194699/151115727451828646838272) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7427447328848555/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 7544765622882325/23384026197294446691258957323460528314494920687616) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y)))))))
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -783489407424079/70368744177664) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 8266558412513793/151115727451828646838272) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))
(/.f64 4 (fabs.f64 y))
Compiler

Compiled 328 to 203 computations (38.1% saved)

soundness0.0ms (0%)

end276.0ms (3.3%)

Compiler

Compiled 301 to 160 computations (46.8% saved)

Profiling

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