Details

Time bar (total: 12.7s)

analyze554.0ms (4.4%)

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
0%99.9%0.1%7
0%99.9%0.1%8
15.6%81.9%2.5%9
21.1%74.5%4.4%10
25.4%69.8%4.8%11
39.2%51.6%9.2%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.4s (19%)

Results
2.1s8256×body256valid
244.0ms1207×body256invalid

preprocess168.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
588×fma-def_binary64
495×associate-/l*_binary64
457×associate-/r*_binary64
444×sub-neg_binary64
407×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03076
17068
217960
349760
4121856
5292252
6705452
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (*.f64 4 (+.f64 x (-.f64 (*.f64 y 1/4) z))) y))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 y (*.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 4 (/.f64 x (-.f64 (+.f64 y (*.f64 x 1/4)) z))))
(+.f64 1 (*.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z)))
(fma.f64 (/.f64 4 x) (-.f64 (fma.f64 x 1/4 y) z) 1)
(fma.f64 (-.f64 (fma.f64 x 1/4 y) z) (/.f64 4 x) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 y z) x) x))
(+.f64 (*.f64 (/.f64 -4 x) (-.f64 z y)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 z (*.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 (*.f64 y 1/4) z) x))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 z) x) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 z) x) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 z x) y) y))
(+.f64 (*.f64 4 (/.f64 (-.f64 z x) y)) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 4 (/.f64 z (+.f64 x (-.f64 (*.f64 1/4 z) y)))))
(+.f64 1 (*.f64 (/.f64 4 z) (-.f64 (fma.f64 1/4 z x) y)))
(fma.f64 (/.f64 4 z) (fma.f64 1/4 z (-.f64 x y)) 1)
(fma.f64 (-.f64 (fma.f64 1/4 z x) y) (/.f64 4 z) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x y) z) z))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) 2)
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
888×fma-def_binary64
616×associate-/l*_binary64
577×associate-/r*_binary64
410×fma-neg_binary64
310×div-sub_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01319
12517
25515
314015
434614
577011
6213611
7769111
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 4 (/.f64 y (+.f64 x (-.f64 (*.f64 y 1/4) z)))))
(+.f64 1 (*.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z)))
(fma.f64 (/.f64 4 y) (-.f64 (fma.f64 y 1/4 x) z) 1)
(fma.f64 (-.f64 (fma.f64 y 1/4 x) z) (/.f64 4 y) 1)
(+.f64 1 (/.f64 (fma.f64 4 (-.f64 x z) y) y))
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)

eval1.0ms (0%)

Compiler

Compiled 24 to 17 computations (29.2% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 27 to 20 computations (25.9% saved)

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 57 to 37 computations (35.1% saved)

series10.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite113.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
705×log-prod_binary64
694×fma-def_binary64
352×fma-neg_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
129531
2428629
Stop Event
1×node limit
Counts
2 → 109
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))) (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 y (fma.f64 y 1/4 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (fma.f64 y 1/4 (-.f64 x z)) (/.f64 1 y)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y 1/4 (-.f64 x z)) (*.f64 4 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> 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(/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 y 1/4 (-.f64 x z)) (sqrt.f64 y)) (/.f64 4 (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z))) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 4 (fma.f64 y 1/4 (-.f64 x z)))) (sqrt.f64 y)) 1)))))

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
901×fma-def_binary64
754×div-sub_binary64
525×associate-/r*_binary64
455×times-frac_binary64
447×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0391241
11001183
2222715
3393709
4673706
51580706
66217706
Stop Event
1×node limit
Counts
181 → 136
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 x z) y)))
(*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y))))
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))))
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(*.f64 4 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y)))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 1 (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y)))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(*.f64 -4 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(*.f64 -4 (/.f64 z y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
Outputs
(*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y))
(fma.f64 (/.f64 z y) -4 1)
(/.f64 (fma.f64 z -4 y) y)
(fma.f64 z (/.f64 -4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
(*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y)))
(*.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)))
(fma.f64 4 (/.f64 (-.f64 x z) y) 1)
(fma.f64 (/.f64 4 y) (-.f64 x z) 1)
(fma.f64 (-.f64 x z) (/.f64 4 y) 1)
(+.f64 (*.f64 4 (/.f64 x y)) (*.f64 4 (-.f64 1/4 (/.f64 z y))))
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(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 (+.f64 (*.f64 1/4 y) x) y))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)
(+.f64 1 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (+.f64 1/4 (/.f64 x y)))))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 1/4 y) z) y))) 1)
(fma.f64 4 (+.f64 (/.f64 (-.f64 (*.f64 1/4 y) z) y) (/.f64 x y)) 1)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 (/.f64 4 y) (-.f64 x z) 2)
(fma.f64 (-.f64 x z) (/.f64 4 y) 2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
✓0.0b
(/.f64 (-.f64 x z) y)
Compiler

Compiled 24 to 10 computations (58.3% saved)

series14.0ms (0.1%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
2.0ms
y
@inf
(/.f64 (-.f64 x z) y)
1.0ms
x
@0
(/.f64 (-.f64 x z) y)
1.0ms
x
@-inf
(/.f64 (-.f64 x z) y)
0.0ms
y
@0
(/.f64 (-.f64 x z) y)

rewrite134.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
618×unpow-prod-down_binary64
541×prod-diff_binary64
467×log-prod_binary64
266×pow2_binary64
204×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119918
2271718
Stop Event
1×node limit
Counts
2 → 237
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) y)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
Outputs
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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (-.f64 x z) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2)) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 2) 3) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 8) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (-.f64 4 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) 4) (fma.f64 (/.f64 (-.f64 x z) y) 4 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x z) y) 4 2)) 1))))))

simplify137.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
744×fma-neg_binary64
588×fma-def_binary64
201×cancel-sign-sub-inv_binary64
153×distribute-rgt-in_binary64
128×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022765
146671
285617
3138509
4236509
5412509
6725509
71103509
81821509
92605509
103180509
113296509
123327509
133332509
143336509
Stop Event
1×saturated
Counts
297 → 256
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
Outputs
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(fma.f64 (/.f64 z y) -4 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(*.f64 x (/.f64 4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 x y) 4 2)
(fma.f64 x (/.f64 4 y) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 z (/.f64 -4 y))
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
2
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(+.f64 2 (fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4)))
(+.f64 2 (fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4)))
(fma.f64 (/.f64 z y) -4 (fma.f64 (/.f64 x y) 4 2))
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(fma.f64 -4 (/.f64 (-.f64 z x) y) 2)
(fma.f64 (/.f64 -4 y) (-.f64 z x) 2)

eval229.0ms (1.8%)

Compiler

Compiled 10182 to 4720 computations (53.6% saved)

prune69.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New37913392
Fresh000
Picked101
Done101
Total38113394
Error
0b
Counts
394 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(*.f64 z (/.f64 -4 y))
30.4b
(fma.f64 4 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2) 2)
37.7b
2
▶46.1b
(*.f64 -4 (/.f64 z y))
24.6b
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 8) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (-.f64 4 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2))))
42.6b
(*.f64 4 (/.f64 x y))
24.6b
(fma.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 2)
20.8b
(fma.f64 z (/.f64 -4 y) 2)
▶25.7b
(*.f64 4 (/.f64 (-.f64 x z) y))
▶22.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
▶17.9b
(+.f64 2 (*.f64 4 (/.f64 x y)))
▶42.7b
(*.f64 x (/.f64 4 y))
20.7b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Compiler

Compiled 298 to 220 computations (26.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series6.0ms (0%)

Counts
2 → 6
Calls

12 calls:

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

rewrite67.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
939×pow1_binary64
879×add-log-exp_binary64
878×log1p-expm1-u_binary64
878×expm1-log1p-u_binary64
864×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117715
2230115
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 4 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 -4 (/.f64 x y)))) (/.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (+.f64 2 (*.f64 -4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 8 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (*.f64 4 (/.f64 x y)) 2)) (/.f64 1 (+.f64 2 (*.f64 -4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 8 (/.f64 x y)))) (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 -4 (/.f64 x y))) (-.f64 4 (pow.f64 (*.f64 4 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 4 (-.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 8 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (*.f64 4 (/.f64 x y)) 2)) (+.f64 2 (*.f64 -4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (*.f64 8 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 4 (/.f64 x y)) 2))) (neg.f64 (+.f64 2 (*.f64 -4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) 4) (-.f64 (*.f64 4 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2) (cbrt.f64 (*.f64 4 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x y))) (*.f64 2 (sqrt.f64 (/.f64 x y))) 2)))))

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
1×saturated
Counts
58 → 54
Calls
Call 1
Inputs
2
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
2
2
Outputs
2
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
2
2

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
608×add-log-exp_binary64
608×log1p-expm1-u_binary64
608×expm1-log1p-u_binary64
596×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216127
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 z y))))))))

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (/.f64 4 y))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
613×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
215597
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 x (/.f64 4 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 4 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 4 y))))))))

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
Outputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

9 calls:

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

rewrite66.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118210
2262310
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x z) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x z) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 4 (-.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1) 1))))))

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×fma-def_binary64
6×*-commutative_binary64
4×associate-/l*_binary64
2×associate-*r/_binary64
2×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011294
119294
230294
338294
442294
544294
Stop Event
1×saturated
Counts
58 → 39
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
Outputs
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 -4 y) z)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 -4 y) z)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(*.f64 (/.f64 -4 y) z)
(*.f64 z (/.f64 -4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) (/.f64 (*.f64 -4 z) y))
(fma.f64 4 (/.f64 x y) (*.f64 (/.f64 -4 y) z))
(fma.f64 4 (/.f64 x y) (*.f64 z (/.f64 -4 y)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (-.f64 x z) (/.f64 4 y))
Compiler

Compiled 30 to 16 computations (46.7% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
561×unpow-prod-down_binary64
426×log-prod_binary64
368×prod-diff_binary64
281×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118010
2245510
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 (-.f64 x z) (/.f64 4 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 y)) (*.f64 (neg.f64 z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 4 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x z) 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 4) (*.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (neg.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x z) 4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 4 y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 x z) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 y)) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x z) (/.f64 4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x z) (/.f64 4 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (/.f64 4 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))))))

simplify83.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
729×fma-def_binary64
395×fma-neg_binary64
137×cancel-sign-sub-inv_binary64
123×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014462
128462
255462
393342
4178342
5302342
6549342
7886342
81392342
91934342
102627342
112763342
122795342
132800342
142800342
Stop Event
1×saturated
Counts
87 → 58
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
Outputs
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(fma.f64 -4 (/.f64 z y) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (-.f64 z x) y))

eval159.0ms (1.3%)

Compiler

Compiled 9071 to 3907 computations (56.9% saved)

prune70.0ms (0.6%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New3956401
Fresh538
Picked011
Done044
Total40014414
Error
0b
Counts
414 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.1b
(*.f64 -4 (/.f64 z y))
▶30.1b
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
✓17.9b
(+.f64 2 (*.f64 4 (/.f64 x y)))
37.7b
2
▶42.6b
(/.f64 (*.f64 x 4) y)
20.8b
(fma.f64 z (/.f64 -4 y) 2)
✓25.7b
(*.f64 4 (/.f64 (-.f64 x z) y))
✓22.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
▶46.1b
(*.f64 z (/.f64 -4 y))
✓42.7b
(*.f64 x (/.f64 4 y))
▶20.7b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
▶50.3b
(*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)))
46.1b
(/.f64 -4 (/.f64 y z))
43.3b
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)
Compiler

Compiled 246 to 186 computations (24.4% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts
1 → 6
Calls

6 calls:

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

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
961×pow1_binary64
900×add-log-exp_binary64
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11798
223398
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 4 (/.f64 z y)))) (/.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4 (/.f64 z y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4 (/.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2) (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (/.f64 1 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (/.f64 1 (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y)))) (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 4 (/.f64 z y))) (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64)) (+.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (-.f64 4 (*.f64 -8 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16)) (+.f64 2 (*.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 (/.f64 z y) 3) -64))) (neg.f64 (+.f64 4 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) (*.f64 -8 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 (pow.f64 (/.f64 z y) 2) 16))) (neg.f64 (+.f64 2 (*.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z y) 2) 16) 4) (-.f64 (*.f64 -4 (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (/.f64 z y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4 (/.f64 z y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4 (/.f64 z y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 z y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) -4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -4 (/.f64 z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2) (cbrt.f64 (*.f64 -4 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4 (/.f64 z y))) (sqrt.f64 (*.f64 -4 (/.f64 z y))) 2)))))

simplify18.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
1×saturated
Counts
39 → 35
Calls
Call 1
Inputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
2
2
Outputs
2
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
2
2

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite86.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
615×pow1_binary64
573×add-log-exp_binary64
573×log1p-expm1-u_binary64
573×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215597
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 z (/.f64 -4 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 -4 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 y -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 -4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 -4 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 -4 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 -4 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 -4 y))))))))

simplify22.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
Outputs
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 z y))

localize16.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)))
0.0b
(/.f64 (-.f64 x z) y)
✓0.3b
(pow.f64 (/.f64 (-.f64 x z) y) 3)
✓34.8b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))
Compiler

Compiled 41 to 17 computations (58.5% saved)

series77.0ms (0.6%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
44.0ms
y
@0
(pow.f64 (/.f64 (-.f64 x z) y) 3)
8.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))
4.0ms
y
@-inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))
2.0ms
x
@0
(pow.f64 (/.f64 (-.f64 x z) y) 3)
2.0ms
z
@-inf
(pow.f64 (/.f64 (-.f64 x z) y) 3)

rewrite139.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
541×prod-diff_binary64
539×log-prod_binary64
331×pow-prod-down_binary64
286×pow2_binary64
201×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
125027
2313027
Stop Event
1×node limit
Counts
3 → 256
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3))
(pow.f64 (/.f64 (-.f64 x z) y) 3)
(*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x z) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x y) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 1 y) z))) (fma.f64 (neg.f64 (/.f64 1 y)) z (*.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 y) (neg.f64 (*.f64 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simplify146.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
609×fma-def_binary64
373×distribute-rgt-out_binary64
283×times-frac_binary64
275×associate-*l/_binary64
266×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0991907
13191773
210501714
357191585
Stop Event
1×node limit
Counts
364 → 306
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 z 2) (pow.f64 y 3)))) x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 z 2) (pow.f64 y 3)))) x)))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) z) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) z) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) z) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)))))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) z) (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) z) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (*.f64 -1 (*.f64 z (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (*.f64 2 (/.f64 x (pow.f64 y 3)))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (*.f64 -1 (*.f64 z (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))))))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
Outputs
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y x)))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 -1)) y) x)
(*.f64 (/.f64 x y) (neg.f64 (cbrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) y)) (/.f64 (*.f64 (cbrt.f64 -1) z) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(/.f64 (-.f64 x z) y)
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) (/.f64 y x)) (/.f64 (cbrt.f64 -1) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) (/.f64 x (/.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 z x))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(/.f64 (neg.f64 (pow.f64 z 3)) (pow.f64 y 3))
(neg.f64 (pow.f64 (/.f64 z y) 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(fma.f64 (*.f64 3 (/.f64 (*.f64 z z) (pow.f64 y 3))) x (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(-.f64 (*.f64 x (/.f64 (*.f64 3 (*.f64 z z)) (pow.f64 y 3))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(-.f64 (*.f64 z (*.f64 (/.f64 x (pow.f64 y 3)) (*.f64 z 3))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 3 (/.f64 x (pow.f64 y 3))) (/.f64 z (pow.f64 y 3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(fma.f64 (*.f64 3 (/.f64 (*.f64 z z) (pow.f64 y 3))) x (fma.f64 (*.f64 (/.f64 z (pow.f64 y 3)) -3) (*.f64 x x) (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(fma.f64 x (/.f64 (*.f64 3 (*.f64 z z)) (pow.f64 y 3)) (-.f64 (*.f64 (/.f64 (*.f64 z -3) (pow.f64 y 3)) (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))
(-.f64 (*.f64 z (+.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) -3) (*.f64 (/.f64 x (pow.f64 y 3)) (*.f64 z 3)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(-.f64 (*.f64 x (*.f64 -3 (+.f64 (*.f64 (/.f64 (neg.f64 z) (pow.f64 y 3)) z) (*.f64 x (/.f64 z (pow.f64 y 3)))))) (pow.f64 (/.f64 z y) 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 y 3))) (/.f64 (pow.f64 z 2) (pow.f64 y 3))) x) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (*.f64 -2 (/.f64 z (pow.f64 y 3)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
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(fma.f64 x (/.f64 (*.f64 3 (*.f64 z z)) (pow.f64 y 3)) (fma.f64 (/.f64 (*.f64 z -3) (pow.f64 y 3)) (*.f64 x x) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
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(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (-.f64 x z) y) 3)
(/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (-.f64 x z) y) 3)
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 -4 y) z)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y))
(*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y x)) -4)
(*.f64 (/.f64 x (/.f64 y (cbrt.f64 -1))) -4)
(/.f64 (*.f64 x (cbrt.f64 -1)) (/.f64 y -4))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(fma.f64 4 (/.f64 (cbrt.f64 -1) (/.f64 y z)) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y x)) -4))
(fma.f64 (/.f64 x (/.f64 y (cbrt.f64 -1))) -4 (*.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) 4))
(fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 -1)) -4 (*.f64 (*.f64 (/.f64 z y) (cbrt.f64 -1)) 4))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(fma.f64 4 (/.f64 (cbrt.f64 -1) (/.f64 y z)) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y x)) -4))
(fma.f64 (/.f64 x (/.f64 y (cbrt.f64 -1))) -4 (*.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) 4))
(fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 -1)) -4 (*.f64 (*.f64 (/.f64 z y) (cbrt.f64 -1)) 4))
(+.f64 (*.f64 4 (/.f64 (*.f64 (cbrt.f64 -1) z) y)) (*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) x) y)))
(fma.f64 4 (/.f64 (cbrt.f64 -1) (/.f64 y z)) (*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y x)) -4))
(fma.f64 (/.f64 x (/.f64 y (cbrt.f64 -1))) -4 (*.f64 (/.f64 z (/.f64 y (cbrt.f64 -1))) 4))
(fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 -1)) -4 (*.f64 (*.f64 (/.f64 z y) (cbrt.f64 -1)) 4))
(*.f64 4 (/.f64 x y))
(*.f64 (/.f64 x y) 4)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 -4 y) z)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(*.f64 -4 (/.f64 z y))
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 -4 y) z)
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(fma.f64 -4 (/.f64 z y) (*.f64 (/.f64 x y) 4))
(fma.f64 (/.f64 z y) -4 (*.f64 (/.f64 x y) 4))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) 4)
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (-.f64 x z))) -4)
(/.f64 (*.f64 (*.f64 -4 (cbrt.f64 -1)) (-.f64 x z)) y)
(/.f64 -4 (/.f64 (/.f64 y (cbrt.f64 -1)) (-.f64 x z)))
(*.f64 (*.f64 -4 (/.f64 (cbrt.f64 -1) y)) (-.f64 x z))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (-.f64 x z))) -4)
(/.f64 (*.f64 (*.f64 -4 (cbrt.f64 -1)) (-.f64 x z)) y)
(/.f64 -4 (/.f64 (/.f64 y (cbrt.f64 -1)) (-.f64 x z)))
(*.f64 (*.f64 -4 (/.f64 (cbrt.f64 -1) y)) (-.f64 x z))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (-.f64 x z))) -4)
(/.f64 (*.f64 (*.f64 -4 (cbrt.f64 -1)) (-.f64 x z)) y)
(/.f64 -4 (/.f64 (/.f64 y (cbrt.f64 -1)) (-.f64 x z)))
(*.f64 (*.f64 -4 (/.f64 (cbrt.f64 -1) y)) (-.f64 x z))
(*.f64 -4 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (-.f64 x z))) -4)
(/.f64 (*.f64 (*.f64 -4 (cbrt.f64 -1)) (-.f64 x z)) y)
(/.f64 -4 (/.f64 (/.f64 y (cbrt.f64 -1)) (-.f64 x z)))
(*.f64 (*.f64 -4 (/.f64 (cbrt.f64 -1) y)) (-.f64 x z))

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y))))
✓0.2b
(pow.f64 (*.f64 4 (/.f64 x y)) 3)
✓0.3b
(pow.f64 (*.f64 4 (/.f64 x y)) 2)
✓15.0b
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
Compiler

Compiled 92 to 55 computations (40.2% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(pow.f64 (*.f64 4 (/.f64 x y)) 3)
1.0ms
x
@0
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
1.0ms
y
@0
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
1.0ms
y
@inf
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
1.0ms
x
@inf
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))

rewrite133.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
526×fma-def_binary64
308×expm1-udef_binary64
308×log1p-udef_binary64
289×fma-neg_binary64
251×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01679
138373
2523669
Stop Event
1×node limit
Counts
4 → 161
Calls
Call 1
Inputs
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
(pow.f64 (*.f64 4 (/.f64 x y)) 2)
(pow.f64 (*.f64 4 (/.f64 x y)) 3)
(+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y))))
Outputs
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4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 x y) -8 4) 1 (*.f64 16 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 16 (pow.f64 (/.f64 x y) 2)) (fma.f64 (/.f64 x y) -8 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 x y) -8 4) (*.f64 16 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 16 (pow.f64 (/.f64 x y) 2) 4) (*.f64 (/.f64 x y) -8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 16 (pow.f64 (/.f64 x y) 2) (fma.f64 (/.f64 x y) -8 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2) (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 4)) (fma.f64 (/.f64 x y) -8 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) (*.f64 4 (/.f64 x y))) (fma.f64 (/.f64 x y) -8 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 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(/.f64 x y)) 4 (fma.f64 (/.f64 x y) -8 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (/.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 4 (/.f64 x y))) (fma.f64 (/.f64 x y) -8 4))))))

simplify71.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
742×associate-/l*_binary64
543×associate-*l*_binary64
537×fma-def_binary64
450×associate-/r*_binary64
437×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0621236
11831194
26711098
325401062
474851008
Stop Event
1×node limit
Counts
257 → 181
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y)))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))))
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x))))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
Outputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))))
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(fma.f64 (/.f64 x y) -8 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 4)
(fma.f64 x (/.f64 -8 y) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 (/.f64 x y) -8 (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 (/.f64 x y) -8 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 (/.f64 x y) -8 (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 (/.f64 x y) -8 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)

eval837.0ms (6.6%)

Compiler

Compiled 22322 to 11165 computations (50% saved)

prune162.0ms (1.3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New7684772
Fresh224
Picked101
Done279
Total77313786
Error
0b
Counts
786 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.7b
(*.f64 x (/.f64 4 y))
▶25.8b
(*.f64 (/.f64 4 y) (-.f64 x z))
✓42.6b
(/.f64 (*.f64 x 4) y)
▶20.8b
(fma.f64 z (/.f64 -4 y) 2)
▶46.1b
(/.f64 -4 (/.f64 y z))
▶30.1b
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
✓46.1b
(*.f64 z (/.f64 -4 y))
✓46.1b
(*.f64 -4 (/.f64 z y))
✓17.9b
(+.f64 2 (*.f64 4 (/.f64 x y)))
37.7b
2
✓20.7b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
▶40.4b
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
✓25.7b
(*.f64 4 (/.f64 (-.f64 x z) y))
Compiler

Compiled 212 to 151 computations (28.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 11 computations (31.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
673×pow1_binary64
625×add-log-exp_binary64
625×log1p-expm1-u_binary64
625×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11478
216778
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 z (/.f64 -4 y) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (*.f64 z -4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z -4) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 z -4) y) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (/.f64 -4 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (/.f64 -4 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (/.f64 -4 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2) (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z -4) y) 3) 8) (+.f64 (*.f64 (/.f64 (*.f64 z -4) y) (/.f64 (*.f64 z -4) y)) (-.f64 4 (*.f64 (/.f64 (*.f64 z -4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 z -4) y) (/.f64 (*.f64 z -4) y)) 4) (-.f64 (/.f64 (*.f64 z -4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (/.f64 -4 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (/.f64 -4 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (/.f64 -4 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (/.f64 -4 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (/.f64 -4 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (/.f64 -4 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (/.f64 -4 y) 2)))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×associate-/l*_binary64
1×+-commutative_binary64
1×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08204
112168
218168
322168
424168
525168
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Outputs
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(*.f64 -4 (/.f64 z y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(fma.f64 -4 (/.f64 z y) 2)
(fma.f64 (/.f64 -4 y) z 2)
(fma.f64 z (/.f64 -4 y) 2)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.9b
(/.f64 -4 (/.f64 y z))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite95.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 4 y) (-.f64 x z))
Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite58.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
561×unpow-prod-down_binary64
426×log-prod_binary64
368×prod-diff_binary64
281×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118010
2246410
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 4 y) (-.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 y)) (*.f64 (neg.f64 z) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 4 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 4 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (*.f64 y 1/4) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y 1/4) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (neg.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 4) (*.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) 1) (*.f64 (+.f64 x z) (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) -4) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) -4) (*.f64 (+.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 4 y)) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 4 y)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 y) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) -4) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x z) y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 4 (-.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 (-.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x z)) (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4 (/.f64 (-.f64 x z) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x z) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 y) x (*.f64 (/.f64 4 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 4 y) (*.f64 (neg.f64 z) (/.f64 4 y)))))))

simplify89.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
729×fma-def_binary64
395×fma-neg_binary64
137×cancel-sign-sub-inv_binary64
123×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014342
128342
255342
393342
4178342
5302342
6549342
7886342
81389342
91929342
102621342
112757342
122789342
132794342
142794342
Stop Event
1×saturated
Counts
88 → 58
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
Outputs
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 (*.f64 z -4) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 x (/.f64 y 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 x (/.f64 y 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 4 x) y)
(/.f64 x (/.f64 y 4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 (*.f64 z -4) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 -4 z) y)
(/.f64 (*.f64 z -4) y)
(/.f64 z (/.f64 y -4))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
✓1.7b
(-.f64 (*.f64 x y) (*.f64 y z))
✓29.2b
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
Compiler

Compiled 47 to 11 computations (76.6% saved)

series52.0ms (0.4%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
40.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
1.0ms
z
@0
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))

rewrite120.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
701×log-prod_binary64
457×fma-def_binary64
334×pow2_binary64
233×fma-neg_binary64
230×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
125436
2368536
Stop Event
1×node limit
Counts
3 → 272
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) (pow.f64 y -2)) (neg.f64 (/.f64 y (/.f64 (*.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x y) (pow.f64 y -2)) (/.f64 y (/.f64 (*.f64 y y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 x z)) (pow.f64 y -2))))) (#(struct:change 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(cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 y (/.f64 (*.f64 y (-.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 (*.f64 y (-.f64 x z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (-.f64 x z)) 4) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y (-.f64 x z)) 4)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y (-.f64 x z)) 4) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y (-.f64 x z)) 4) 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y (-.f64 x z)) 4) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 y (-.f64 x z))) 4) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 y (-.f64 x z)) y) 4) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (*.f64 y (-.f64 x z)))) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (*.f64 y (-.f64 x z)) y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 y -2)) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 y (-.f64 x z)) 4)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 y (-.f64 x z)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 y -2)) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (pow.f64 y -2) 4))) 1))))))

simplify198.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1144×fma-def_binary64
781×fma-neg_binary64
478×div-sub_binary64
420×unsub-neg_binary64
404×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0311182
184942
2190942
3466822
41086822
53002822
64650822
76359822
87008822
97140822
107236822
Stop Event
1×node limit
Counts
380 → 294
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -1 z))))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 4 (/.f64 (-.f64 x z) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 -4 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 z)) y))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(*.f64 -4 (/.f64 z y))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
(+.f64 (*.f64 -4 (/.f64 z y)) (*.f64 4 (/.f64 x y)))
Outputs
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(/.f64 z (neg.f64 y))
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y)))
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localize117.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y))))
0.2b
(pow.f64 (*.f64 4 (/.f64 x y)) 3)
✓0.3b
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
✓15.0b
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
Compiler

Compiled 106 to 60 computations (43.4% saved)

series32.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
2.0ms
y
@0
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
2.0ms
x
@0
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
2.0ms
x
@0
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
2.0ms
y
@-inf
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))

rewrite208.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
372×fma-neg_binary64
360×expm1-udef_binary64
360×log1p-udef_binary64
214×add-sqr-sqrt_binary64
208×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01874
144267
2654967
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y))))
Outputs
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simplify119.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
693×fma-def_binary64
588×associate-*r*_binary64
541×times-frac_binary64
495×unswap-sqr_binary64
412×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058924
1171882
2612858
32195822
46851768
Stop Event
1×node limit
Counts
219 → 166
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y)))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))))
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x))))))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
Outputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x)))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -1 (/.f64 y x))))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 x y)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))) x) (pow.f64 y 3))))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(fma.f64 4 (/.f64 x y) 2)
(fma.f64 (/.f64 4 y) x 2)
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 4)
(fma.f64 x (/.f64 -8 y) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 (/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y))
(*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 (/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y))
(*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 (/.f64 16 y) x) x) y)
(*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16)))
(+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 (/.f64 (/.f64 16 (/.f64 y (*.f64 x x))) y))
(*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8))
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 4)
(fma.f64 x (/.f64 -8 y) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
4
(+.f64 4 (*.f64 -8 (/.f64 x y)))
(+.f64 4 (*.f64 (/.f64 x y) -8))
(fma.f64 (/.f64 x y) -8 4)
(fma.f64 x (/.f64 -8 y) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)
(+.f64 4 (+.f64 (*.f64 -8 (/.f64 x y)) (*.f64 16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 4 (fma.f64 -8 (/.f64 x y) (*.f64 16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 4 (fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) -8)))
(fma.f64 16 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -8 4))
(+.f64 4 (*.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 16)) -8)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 16 -8) 4)

eval386.0ms (3%)

Compiler

Compiled 13858 to 6893 computations (50.3% saved)

prune121.0ms (1%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New6002602
Fresh011
Picked011
Done11011
Total60114615
Error
0b
Counts
615 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.7b
(*.f64 x (/.f64 4 y))
✓25.8b
(*.f64 (/.f64 4 y) (-.f64 x z))
✓46.1b
(/.f64 -4 (/.f64 y z))
✓30.1b
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
✓46.1b
(*.f64 z (/.f64 -4 y))
✓46.1b
(*.f64 -4 (/.f64 z y))
✓17.9b
(+.f64 2 (*.f64 4 (/.f64 x y)))
✓42.6b
(/.f64 (*.f64 x 4) y)
37.7b
2
42.7b
(/.f64 4 (/.f64 y x))
✓20.7b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
✓40.4b
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
31.6b
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z -4) y) (/.f64 (*.f64 z -4) y)) 4) (-.f64 (/.f64 (*.f64 z -4) y) 2))
✓25.7b
(*.f64 4 (/.f64 (-.f64 x z) y))
Compiler

Compiled 162 to 118 computations (27.2% saved)

regimes104.0ms (0.8%)

Counts
27 → 1
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z -4) y) (/.f64 (*.f64 z -4) y)) 4) (-.f64 (/.f64 (*.f64 z -4) y) 2))
(fma.f64 z (/.f64 -4 y) 2)
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x (/.f64 y 16))) (-.f64 4 (*.f64 8 (/.f64 x y)))))
(*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)))
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x z) y))) 2)
(/.f64 (+.f64 8 (pow.f64 (*.f64 4 (/.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 x y)) 2) (-.f64 4 (*.f64 8 (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 64) 8) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2) (-.f64 4 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) 4) 2))))
(fma.f64 4 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2) 2)
(fma.f64 4 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 2)
Outputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
Calls

7 calls:

20.0ms
z
17.0ms
y
14.0ms
x
13.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
12.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 338 to 209 computations (38.2% saved)

regimes57.0ms (0.4%)

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

5 calls:

14.0ms
z
10.0ms
y
10.0ms
x
8.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
7.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b1(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
Compiler

Compiled 173 to 113 computations (34.7% saved)

regimes162.0ms (1.3%)

Counts
16 → 6
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(*.f64 4 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)))
Outputs
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Calls

3 calls:

74.0ms
x
58.0ms
y
26.0ms
z
Results
ErrorSegmentsBranch
6.4b5x
5.3b6y
7.1b3z
Compiler

Compiled 103 to 63 computations (38.8% saved)

bsearch216.0ms (1.7%)

Algorithm
5×binary-search
Steps
TimeLeftRight
21.0ms
1.1096875832682885e+48
1.6169199878595498e+53
17.0ms
-1.8514291798305285e-164
-6.42021495622411e-165
106.0ms
-9.036261794740348e-80
-3.0626311235330306e-83
38.0ms
-1.7777300221429666e-13
-3.0247228724607627e-16
34.0ms
-1.911838355223436e+102
-2.5127853180748253e+100
Compiler

Compiled 334 to 264 computations (21% saved)

regimes346.0ms (2.7%)

Counts
14 → 6
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Outputs
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
Calls

3 calls:

204.0ms
y
102.0ms
x
35.0ms
z
Results
ErrorSegmentsBranch
6.5b5x
5.5b6y
7.1b3z
Compiler

Compiled 81 to 51 computations (37% saved)

bsearch315.0ms (2.5%)

Algorithm
5×binary-search
Steps
TimeLeftRight
59.0ms
1.835808416170997e+42
8.319824316856269e+42
24.0ms
-1.0388651010748857e-133
-7.539126187807946e-138
137.0ms
-9.036261794740348e-80
-3.0626311235330306e-83
50.0ms
-1.7777300221429666e-13
-3.0247228724607627e-16
44.0ms
-1.911838355223436e+102
-2.5127853180748253e+100
Compiler

Compiled 374 to 289 computations (22.7% saved)

regimes204.0ms (1.6%)

Counts
13 → 7
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Outputs
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 (-.f64 x z) y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Calls

3 calls:

89.0ms
y
87.0ms
x
24.0ms
z
Results
ErrorSegmentsBranch
14.0b7x
7.5b7y
8.3b3z
Compiler

Compiled 74 to 47 computations (36.5% saved)

bsearch247.0ms (1.9%)

Algorithm
6×binary-search
Steps
TimeLeftRight
24.0ms
6.248570128496144e+34
9.451730783782688e+36
24.0ms
-1.0388651010748857e-133
-7.539126187807946e-138
103.0ms
-9.036261794740348e-80
-3.0626311235330306e-83
24.0ms
-1.565292867528616e+60
-4.365652317104554e+50
48.0ms
-8.428995971934162e+90
-4.0251419140916105e+86
23.0ms
-9.734012787431517e+140
-3.893404766526768e+138
Compiler

Compiled 374 to 289 computations (22.7% saved)

regimes124.0ms (1%)

Counts
12 → 3
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
(*.f64 4 (/.f64 (-.f64 x z) y))
Outputs
2
(*.f64 4 (/.f64 (-.f64 x z) y))
2
Calls

3 calls:

57.0ms
z
43.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
21.0b5x
14.1b3y
19.1b7z
Compiler

Compiled 67 to 43 computations (35.8% saved)

bsearch81.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
1.1096875832682885e+48
1.6169199878595498e+53
42.0ms
-9.734012787431517e+140
-3.893404766526768e+138
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes305.0ms (2.4%)

Counts
11 → 3
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
(*.f64 (/.f64 4 y) (-.f64 x z))
Outputs
2
(*.f64 (/.f64 4 y) (-.f64 x z))
2
Calls

3 calls:

137.0ms
z
124.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
21.2b5x
14.3b3y
19.2b7z
Compiler

Compiled 60 to 40 computations (33.3% saved)

bsearch81.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
1.1096875832682885e+48
1.6169199878595498e+53
40.0ms
-9.734012787431517e+140
-3.893404766526768e+138
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes254.0ms (2%)

Counts
10 → 8
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(*.f64 z (/.f64 -4 y))
(*.f64 -4 (/.f64 z y))
(*.f64 4 (/.f64 x y))
(*.f64 x (/.f64 4 y))
Outputs
2
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 x 4) y)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 x 4) y)
(*.f64 -4 (/.f64 z y))
(/.f64 (*.f64 x 4) y)
2
Calls

3 calls:

139.0ms
z
70.0ms
y
40.0ms
x
Results
ErrorSegmentsBranch
25.9b7x
22.6b8y
23.4b9z
Compiler

Compiled 53 to 36 computations (32.1% saved)

bsearch225.0ms (1.8%)

Algorithm
7×binary-search
Steps
TimeLeftRight
23.0ms
1.835808416170997e+42
8.319824316856269e+42
29.0ms
1.167165078290915e-125
2.795937097704951e-120
34.0ms
2.2304496667731776e-268
4.5802949417937365e-176
10.0ms
-1.7098698586711374e-206
-1.1171118635066482e-206
13.0ms
-1.8514291798305285e-164
-6.42021495622411e-165
93.0ms
-1.1124596756827365e-60
-1.4170027417541049e-62
22.0ms
-1.565292867528616e+60
-4.365652317104554e+50
Compiler

Compiled 706 to 549 computations (22.2% saved)

regimes122.0ms (1%)

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

3 calls:

40.0ms
z
40.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
25.9b7x
22.6b8y
23.5b9z
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch180.0ms (1.4%)

Algorithm
7×binary-search
Steps
TimeLeftRight
23.0ms
1.835808416170997e+42
8.319824316856269e+42
27.0ms
1.167165078290915e-125
2.795937097704951e-120
10.0ms
5.191213849197452e-165
7.901541342515878e-165
11.0ms
-1.7098698586711374e-206
-1.1171118635066482e-206
13.0ms
-1.8514291798305285e-164
-6.42021495622411e-165
71.0ms
-1.1124596756827365e-60
-1.4170027417541049e-62
25.0ms
-1.565292867528616e+60
-4.365652317104554e+50
Compiler

Compiled 544 to 423 computations (22.2% saved)

regimes134.0ms (1.1%)

Counts
6 → 8
Calls
Call 1
Inputs
2
2
2
(/.f64 4 (/.f64 y x))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
Outputs
2
(/.f64 -4 (/.f64 y z))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(/.f64 (*.f64 x 4) y)
(/.f64 -4 (/.f64 y z))
(/.f64 (*.f64 x 4) y)
2
Calls

3 calls:

57.0ms
x
39.0ms
z
37.0ms
y
Results
ErrorSegmentsBranch
25.9b7x
22.7b8y
23.5b9z
Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch302.0ms (2.4%)

Algorithm
7×binary-search
Steps
TimeLeftRight
37.0ms
1.835808416170997e+42
8.319824316856269e+42
45.0ms
1.167165078290915e-125
2.795937097704951e-120
21.0ms
5.191213849197452e-165
7.901541342515878e-165
18.0ms
-1.7098698586711374e-206
-1.1171118635066482e-206
23.0ms
-1.8514291798305285e-164
-6.42021495622411e-165
127.0ms
-1.1124596756827365e-60
-1.4170027417541049e-62
30.0ms
-1.565292867528616e+60
-4.365652317104554e+50
Compiler

Compiled 544 to 423 computations (22.2% saved)

regimes120.0ms (0.9%)

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

3 calls:

58.0ms
z
34.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
28.8b3x
26.9b3y
32.5b7z
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch116.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
43.0ms
1.835808416170997e+42
8.319824316856269e+42
73.0ms
-1.7777300221429666e-13
-3.0247228724607627e-16
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes120.0ms (0.9%)

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

3 calls:

82.0ms
z
22.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
28.8b3x
27.0b3y
32.5b7z
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
1.835808416170997e+42
8.319824316856269e+42
22.0ms
-1.7777300221429666e-13
-3.0247228724607627e-16
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
2
2
2
Outputs
2
Calls

3 calls:

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

Compiled 18 to 15 computations (16.7% saved)

simplify80.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0112671
1130671
2135671
3137671
4138671
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(if (<=.f64 y -1911838355223436052547720507163239786673253341939914724268701543397445976091107215110260093741923565568) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -7042314155041485/39614081257132168796771975168) (+.f64 2 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y))) (if (<=.f64 y -3371481399715807/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y))) (+.f64 2 (*.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -1911838355223436052547720507163239786673253341939914724268701543397445976091107215110260093741923565568) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -7042314155041485/39614081257132168796771975168) (+.f64 2 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -3184354383361367/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1835808416170996972177087423549603349266432) (*.f64 4 (/.f64 (-.f64 x z) y)) (+.f64 2 (*.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -8428995971934162128919635153849907155032969954533210577607977469212825731749394363344486400) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -3184354383361367/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 62485701284961440719273922947710976) (*.f64 4 (/.f64 (-.f64 x z) y)) (+.f64 2 (*.f64 4 (/.f64 x y)))))))))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) 2 (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (*.f64 4 (/.f64 (-.f64 x z) y)) 2))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) 2 (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 x 4) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y 2568425733177917/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (/.f64 (*.f64 x 4) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2)))))))
(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 x 4) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y 505722209957371/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (*.f64 x 4) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2)))))))
(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 x 4) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y 505722209957371/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (*.f64 x 4) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2)))))))
(if (<=.f64 y -7042314155041485/39614081257132168796771975168) 2 (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2))
(if (<=.f64 y -7042314155041485/39614081257132168796771975168) 2 (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 4 (/.f64 y x)) 2))
2
Outputs
(fma.f64 4 (/.f64 (-.f64 x z) y) 2)
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
(if (<=.f64 y -1911838355223436052547720507163239786673253341939914724268701543397445976091107215110260093741923565568) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -7042314155041485/39614081257132168796771975168) (+.f64 2 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y))) (if (<=.f64 y -3371481399715807/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y))) (+.f64 2 (*.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -1911838355223436052547720507163239786673253341939914724268701543397445976091107215110260093741923565568) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -7042314155041485/39614081257132168796771975168) (+.f64 2 (*.f64 -4 (/.f64 z y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -3184354383361367/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 1835808416170996972177087423549603349266432) (*.f64 4 (/.f64 (-.f64 x z) y)) (+.f64 2 (*.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -8428995971934162128919635153849907155032969954533210577607977469212825731749394363344486400) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y -750932942315945/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 4 (/.f64 (-.f64 x z) y)) (if (<=.f64 y -3184354383361367/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 y 62485701284961440719273922947710976) (*.f64 4 (/.f64 (-.f64 x z) y)) (+.f64 2 (*.f64 4 (/.f64 x y)))))))))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) 2 (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (*.f64 4 (/.f64 (-.f64 x z) y)) 2))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) 2 (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
(if (<=.f64 y -973401278743151700538050547965162216612553708104074759440922441420154103343852589088958676360143655370937797123255162941185141331838757765120) 2 (if (<=.f64 y 1109687583268288454197001552391655254202142162944) (*.f64 (-.f64 x z) (/.f64 4 y)) 2))
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(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 4 x) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y 2568425733177917/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (/.f64 (*.f64 4 x) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (*.f64 -4 (/.f64 z y)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 4 x) y) 2)))))))
(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 x 4) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y 505722209957371/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (*.f64 x 4) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2)))))))
(if (<=.f64 y -1565292867528616056223372455800881039666399724507643634515968) 2 (if (<=.f64 y -497544133441593/452312848583266388373324160190187140051835877600158453279131187530910662656) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y -4668205014991117/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (*.f64 4 x) y) (if (<=.f64 y -8097012822408201/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (*.f64 z (/.f64 -4 y)) (if (<=.f64 y 505722209957371/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (/.f64 (*.f64 4 x) y) (if (<=.f64 y 8993318577570485/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (/.f64 -4 (/.f64 y z)) (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 4 x) y) 2)))))))
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(if (<=.f64 y -7042314155041485/39614081257132168796771975168) 2 (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 x 4) y) 2))
(if (<=.f64 y -7042314155041485/39614081257132168796771975168) 2 (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 (*.f64 4 x) y) 2))
(if (<=.f64 y -7042314155041485/39614081257132168796771975168) 2 (if (<=.f64 y 1835808416170996972177087423549603349266432) (/.f64 4 (/.f64 y x)) 2))
2
Compiler

Compiled 506 to 345 computations (31.8% saved)

soundness153.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
888×fma-def_binary64
616×associate-/l*_binary64
577×associate-/r*_binary64
410×fma-neg_binary64
310×div-sub_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01319
12517
25515
314015
434614
577011
6213611
7769111
Stop Event
1×node limit
Compiler

Compiled 534 to 405 computations (24.2% saved)

end193.0ms (1.5%)

Compiler

Compiled 470 to 296 computations (37% saved)

Profiling

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