Details

Time bar (total: 3.2s)

analyze873.0ms (27.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
3.1%96.7%0.1%8
14%84.3%1.7%9
19.5%76.5%4%10
25.4%70.6%4%11
38.8%54.2%7%12
44.4%46.6%9%13
48.8%42.2%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (35.6%)

Results
1.0s8256×body128valid
77.0ms736×body128invalid

preprocess48.0ms (1.5%)

Algorithm
egg-herbie
Rules
786×div-sub_binary64
434×fma-def_binary64
235×distribute-neg-frac_binary64
235×times-frac_binary64
201×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
444940
5110040
6356240
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 y (/.f64 x (-.f64 x z)))
(*.f64 (/.f64 y x) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 y x))
(/.f64 (-.f64 x z) (/.f64 x y))
(fma.f64 z (/.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 z (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 z y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 y x) y))
(*.f64 z (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(/.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 x z) (-.f64 z y))
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 y z)))
(-.f64 x (/.f64 x (/.f64 z y)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify21.0ms (0.7%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
463×associate-/l*_binary64
368×associate-*l/_binary64
316×associate-/r*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36210
413410
524210
644310
7126510
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(-.f64 x (/.f64 z (/.f64 y x)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
4.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 57 to 33 computations (42.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 z (/.f64 y x)))
5.6b
(/.f64 z (/.f64 y x))

series12.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite84.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
697×prod-diff_binary64
239×fma-def_binary64
201×egg-rr
158×expm1-udef_binary64
158×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
node limit
Counts
2 → 243
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify81.0ms (2.5%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
saturated
Counts
315 → 252
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
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x
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x
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(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune219.0ms (6.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2475252
Fresh011
Picked011
Done000
Total2477254
Error
0b
Counts
254 → 7
Alt Table
StatusErrorProgram
19.9b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
38.5b
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x)))))
5.2b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))))
4.8b
(-.f64 x (*.f64 z (/.f64 x y)))
3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 6890 to 2317 computations (66.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)

series5.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

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

rewrite41.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116710
2219910
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1))))))

simplify31.0ms (1%)

Algorithm
egg-herbie
Rules
456×fma-def_binary64
218×fma-neg_binary64
73×cancel-sign-sub-inv_binary64
58×distribute-rgt-in_binary64
52×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
240210
379210
4142210
5280210
6468210
7687210
81063210
91586210
101600210
111614210
121619210
Stop Event
saturated
Counts
45 → 26
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))

prune22.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh055
Picked011
Done011
Total26733
Error
0b
Counts
33 → 7
Alt Table
StatusErrorProgram
19.9b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
38.5b
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x)))))
5.2b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))))
4.8b
(-.f64 x (*.f64 z (/.f64 x y)))
3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 428 to 248 computations (42.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 z (/.f64 x y)))
5.6b
(*.f64 z (/.f64 x y))

series5.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite48.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2240217
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 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simplify50.0ms (1.6%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
saturated
Counts
133 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
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(-.f64 x (*.f64 x (/.f64 z y)))
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(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
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(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
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(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune44.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done022
Total68775
Error
0b
Counts
75 → 7
Alt Table
StatusErrorProgram
19.9b
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
38.5b
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x)))))
5.2b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))))
4.8b
(-.f64 x (*.f64 z (/.f64 x y)))
3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 1054 to 339 computations (67.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 z) 2)
0.6b
(cbrt.f64 z)
2.8b
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))
3.0b
(*.f64 (cbrt.f64 z) (/.f64 x y))

series23.0ms (0.7%)

Counts
4 → 60
Calls

24 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))
2.0ms
x
@0
(*.f64 (cbrt.f64 z) (/.f64 x y))
2.0ms
z
@inf
(*.f64 (cbrt.f64 z) (/.f64 x y))
2.0ms
y
@0
(*.f64 (cbrt.f64 z) (/.f64 x y))
1.0ms
z
@-inf
(*.f64 (cbrt.f64 z) (/.f64 x y))

rewrite51.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
513×log-prod_binary64
252×pow2_binary64
182×pow1/3_binary64
175×expm1-udef_binary64
175×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
120925
2255025
Stop Event
node limit
Counts
4 → 105
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 z) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cbrt.f64 z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (cbrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (cbrt.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cbrt.f64 z) x) (cbrt.f64 (*.f64 z z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) (*.f64 z z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z z))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 z)) 1))))))

simplify62.0ms (2%)

Algorithm
egg-herbie
Rules
1205×associate-/l/_binary64
766×associate-/r/_binary64
630×associate-/l*_binary64
241×associate-*l/_binary64
230×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010468
122468
241468
375468
4185468
5620468
61493468
72979468
83047468
93147468
103276468
113490468
Stop Event
node limit
Counts
165 → 108
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(*.f64 (/.f64 x y) (pow.f64 z 1/3))
(*.f64 (/.f64 x y) (cbrt.f64 z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)

prune101.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1321133
Fresh123
Picked101
Done033
Total1346140
Error
0b
Counts
140 → 6
Alt Table
StatusErrorProgram
5.2b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (cbrt.f64 z) (/.f64 y x))))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
38.5b
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x)))))
4.8b
(-.f64 x (*.f64 z (/.f64 x y)))
3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 2154 to 860 computations (60.1% saved)

regimes108.0ms (3.4%)

Accuracy

Total -41.6b remaining (-3759%)

Threshold costs -41.6b (-3759%)

Counts
15 → 5
Compiler

Compiled 160 to 80 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Calls

4 calls:

0.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
0.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
0.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
0.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Steps
ItersPointRange
5e+298
∈ [
2.8195074378139175e+298
,
#hash((type . real) (value . +inf))
]
0.0
∈ [
0.0
,
1.1105376084184497e-264
]
-4e-76
∈ [
-4.024905470638352e-76
,
-4.393344687401942e-77
]
#hash((type . real) (value . -inf))
∈ [
#hash((type . real) (value . -inf))
,
-5.449553947510725e+301
]
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify15.0ms (0.5%)

Algorithm
egg-herbie
Rules
72×distribute-rgt-neg-in_binary64
64×cancel-sign-sub-inv_binary64
46×distribute-lft-neg-in_binary64
43×neg-sub0_binary64
43×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036115
164115
2104115
3164115
4224115
5280115
6336115
7380115
8419115
9479115
10526115
11543115
12551115
13557115
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x))))))))
Outputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x))))))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (-.f64 x (/.f64 (*.f64 x z) y)) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 0) (-.f64 x (/.f64 z (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008) (-.f64 x (/.f64 (*.f64 x z) y)) (+.f64 x (*.f64 z (/.f64 1 (/.f64 (neg.f64 y) x))))))))

end66.0ms (2.1%)

Stop Event
fuel
Compiler

Compiled 218 to 82 computations (62.4% saved)

Profiling

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