Details

Time bar (total: 4.1s)

analyze443.0ms (10.8%)

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)

sample1.8s (44.3%)

Results
1.5s8256×body256valid
277.0ms1221×body256invalid

preprocess93.0ms (2.3%)

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)

simplify60.0ms (1.4%)

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 (0.1%)

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

Compiled 27 to 20 computations (25.9% saved)

localize42.0ms (1%)

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)

series16.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
2.0ms
y
@-inf
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
2.0ms
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)

rewrite104.0ms (2.5%)

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)))))

simplify90.0ms (2.2%)

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)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 10 computations (58.3% saved)

series6.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

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

rewrite72.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
835×add-log-exp_binary64
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
816×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11387
221307
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2) (cbrt.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) (sqrt.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1) (/.f64 (sqrt.f64 (-.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)))))))

simplify50.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
186×fma-def_binary64
172×fma-neg_binary64
64×cancel-sign-sub-inv_binary64
36×distribute-rgt-in_binary64
32×unsub-neg_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
09246
114210
224210
334210
447210
571210
6119210
7173210
8249210
9381210
10637156
11922156
12983156
131036156
Stop Event
1×saturated
Counts
57 → 38
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)))
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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z 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 y) (/.f64 z y))
(/.f64 (-.f64 x z) y)

eval58.0ms (1.4%)

Compiler

Compiled 2968 to 1798 computations (39.4% saved)

prune26.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1695174
Fresh000
Picked101
Done101
Total1715176
Error
0b
Counts
176 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.1b
(+.f64 1 (*.f64 -4 (/.f64 z y)))
▶25.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
34.7b
2
▶0.0b
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
▶39.5b
(+.f64 1 (*.f64 4 (/.f64 x y)))
Compiler

Compiled 48 to 38 computations (20.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite51.0ms (1.3%)

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))))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series8.0ms (0.2%)

Counts
1 → 0
Calls

6 calls:

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

rewrite63.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
650×pow1_binary64
605×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
216107
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.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 (pow.f64 (*.f64 4 (/.f64 x y)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 4 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))) (#(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))))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (-.f64 x z) (/.f64 4 y))
Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite68.0ms (1.7%)

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)))))))

simplify86.0ms (2.1%)

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))

localize10.0ms (0.2%)

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 32 to 13 computations (59.4% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite146.0ms (3.6%)

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))))))

simplify58.0ms (1.4%)

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)))

eval71.0ms (1.7%)

Compiler

Compiled 2227 to 1295 computations (41.9% saved)

prune33.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1723175
Fresh011
Picked011
Done213
Total1746180
Error
0b
Counts
180 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.3b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
✓0.0b
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
▶16.1b
(+.f64 2 (*.f64 4 (/.f64 x y)))
✓25.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
34.7b
2
▶39.6b
(+.f64 1 (/.f64 4 (/.f64 y x)))
Compiler

Compiled 58 to 46 computations (20.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite69.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
696×pow1_binary64
652×add-log-exp_binary64
652×log1p-expm1-u_binary64
652×expm1-log1p-u_binary64
639×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11357
217727
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 4 (/.f64 y x))
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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 2) (cbrt.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4 (/.f64 x y))) (sqrt.f64 (*.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 x y)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 4 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x y)))))) (#(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))))))))

simplify11.0ms (0.3%)

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 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))

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

eval17.0ms (0.4%)

Compiler

Compiled 646 to 442 computations (31.6% saved)

prune13.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done044
Total66672
Error
0b
Counts
72 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.3b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
✓0.0b
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
✓16.1b
(+.f64 2 (*.f64 4 (/.f64 x y)))
✓25.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
34.7b
2
✓39.6b
(+.f64 1 (/.f64 4 (/.f64 y x)))
Compiler

Compiled 58 to 46 computations (20.7% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.3b
(+.f64 2 (*.f64 -4 (/.f64 z y)))
✓0.0b
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
✓16.1b
(+.f64 2 (*.f64 4 (/.f64 x y)))
✓25.0b
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
34.7b
2
✓39.6b
(+.f64 1 (/.f64 4 (/.f64 y x)))
Compiler

Compiled 58 to 46 computations (20.7% saved)

regimes83.0ms (2%)

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

7 calls:

42.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)
11.0ms
z
6.0ms
y
6.0ms
x
5.0ms
(+.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 150 to 103 computations (31.3% saved)

regimes137.0ms (3.3%)

Counts
7 → 3
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 1 (/.f64 4 (/.f64 y x)))
(+.f64 1 (*.f64 -4 (/.f64 z y)))
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 (-.f64 x z) (/.f64 4 y)))
Outputs
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
Calls

3 calls:

34.0ms
y
15.0ms
x
14.0ms
z
Results
ErrorSegmentsBranch
5.7b3x
7.7b7y
6.3b3z
Compiler

Compiled 60 to 42 computations (30% saved)

bsearch89.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
1.8217961743985148e-95
8.60505434299932e-78
28.0ms
-6.351392042948091e-26
-3.434099499292151e-30
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes28.0ms (0.7%)

Accuracy

Total -15.5b remaining (-80.3%)

Threshold costs -15.5b (-80.3%)

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

3 calls:

12.0ms
x
7.0ms
z
7.0ms
y
Results
ErrorSegmentsBranch
19.3b1x
19.3b1y
19.3b1z
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02466
13266
23766
33966
44066
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(if (<=.f64 x -2766421398550005/43556142965880123323311949751266331066368) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 x 2738282171334001/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
Outputs
(+.f64 2 (*.f64 4 (/.f64 (-.f64 x z) y)))
(if (<=.f64 x -2766421398550005/43556142965880123323311949751266331066368) (+.f64 2 (*.f64 4 (/.f64 x y))) (if (<=.f64 x 2738282171334001/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (+.f64 2 (*.f64 -4 (/.f64 z y))) (+.f64 2 (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 -4 (/.f64 z y)))
2
Compiler

Compiled 58 to 44 computations (24.1% saved)

soundness0.0ms (0%)

end77.0ms (1.9%)

Compiler

Compiled 49 to 34 computations (30.6% saved)

Profiling

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