Details

Time bar (total: 2.7s)

analyze656.0ms (24.3%)

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
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)

sample914.0ms (33.9%)

Results
820.0ms8256×body128valid
80.0ms766×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess39.0ms (1.4%)

Algorithm
2×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
1×saturated
1×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)

simplify20.0ms (0.8%)

Algorithm
1×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
1×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
▶4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
9.5b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 57 to 33 computations (42.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 z (/.f64 y x)))
✓6.0b
(/.f64 z (/.f64 y x))

series11.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite88.0ms (3.3%)

Algorithm
1×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
1×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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simplify49.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
379×fma-def_binary64
215×fma-neg_binary64
70×distribute-rgt-in_binary64
64×cancel-sign-sub-inv_binary64
63×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
136582
288582
3158582
4338582
5754582
61376582
71613582
81623582
91637582
101642582
Stop Event
1×saturated
Counts
315 → 251
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 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (neg.f64 (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(-.f64 x (*.f64 z (/.f64 x y)))

prune169.0ms (6.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2456251
Fresh101
Picked011
Done000
Total2467253
Error
0.0b
Counts
253 → 7
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.4b
(-.f64 x (*.f64 z (/.f64 x y)))
▶2.4b
(-.f64 x (/.f64 (*.f64 z x) y))
✓4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
26.3b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2))
3.5b
(-.f64 x (*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
2.5b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
Compiler

Compiled 6873 to 2312 computations (66.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 (*.f64 z x) y))
✓3.8b
(/.f64 (*.f64 z x) y)

series5.0ms (0.2%)

Counts
2 → 18
Calls

18 calls:

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

rewrite49.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115717
2239317
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) x))) (sqrt.f64 (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (/.f64 1 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 (/.f64 z y) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (+.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))) (neg.f64 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x))) (*.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x)))) (-.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))))

simplify29.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
221×fma-neg_binary64
198×fma-def_binary64
66×associate-*l*_binary64
65×associate-*r*_binary64
63×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015150
134150
285150
3152150
4327150
5726150
61175150
71404150
81414150
91428150
101433150
Stop Event
1×saturated
Counts
98 → 86
Calls
Call 1
Inputs
(*.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 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
x
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
x
x
Outputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
x
x

prune57.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh235
Picked011
Done011
Total87693
Error
0.0b
Counts
93 → 6
Alt Table
StatusErrorProgram
✓4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
4.4b
(-.f64 x (*.f64 z (*.f64 x (/.f64 1 y))))
▶3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
✓2.4b
(-.f64 x (/.f64 (*.f64 z x) y))
26.3b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2))
3.5b
(-.f64 x (*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
Compiler

Compiled 1287 to 434 computations (66.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.9b
(*.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
@0
(*.f64 (-.f64 1 (/.f64 z y)) x)
0.0ms
z
@inf
(*.f64 (-.f64 1 (/.f64 z y)) x)

rewrite39.0ms (1.5%)

Algorithm
1×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
1×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 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))))) (#(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)))))))

simplify31.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09210
117210
238210
379210
4142210
5280210
6469210
7690210
81068210
91597210
101611210
111625210
121630210
Stop Event
1×saturated
Counts
45 → 26
Calls
Call 1
Inputs
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
Outputs
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 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 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 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 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 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 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
x
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (*.f64 x (/.f64 z y)))

prune18.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New25126
Fresh033
Picked011
Done022
Total25732
Error
0b
Counts
32 → 7
Alt Table
StatusErrorProgram
✓2.4b
(-.f64 x (/.f64 (*.f64 z x) y))
15.1b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))
✓4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
4.4b
(-.f64 x (*.f64 z (*.f64 x (/.f64 1 y))))
✓3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
26.3b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2))
▶3.5b
(-.f64 x (*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
Compiler

Compiled 432 to 254 computations (41.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
✓0.6b
(cbrt.f64 x)
✓1.3b
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓5.1b
(*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))

series27.0ms (1%)

Counts
4 → 60
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(cbrt.f64 x)
3.0ms
x
@-inf
(*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))
3.0ms
x
@-inf
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
3.0ms
z
@0
(*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))
2.0ms
z
@-inf
(*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))

rewrite49.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120928
2255228
Stop Event
1×node limit
Counts
4 → 104
Calls
Call 1
Inputs
(*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (/.f64 z y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (pow.f64 (/.f64 z y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z (pow.f64 (cbrt.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 z x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 z x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 z x) y)))))))) (#(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 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (*.f64 z (pow.f64 (cbrt.f64 x) 2))) 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 (pow.f64 (/.f64 (*.f64 z x) y) 2) 1/2)))) (#(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 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 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) 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 (exp.f64 (/.f64 (*.f64 z 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) 3)))))) (#(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 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 +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))))

simplify71.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
450×unswap-sqr_binary64
374×sqr-pow_binary64
346×associate-*l/_binary64
252×associate-/l*_binary64
247×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012540
128540
253540
3110540
4285540
5923540
62211540
73498540
83648540
93874540
104150540
114563540
Stop Event
1×node limit
Counts
164 → 106
Calls
Call 1
Inputs
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 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 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x 2) 1/3))
(*.f64 (/.f64 z y) (cbrt.f64 (*.f64 x x)))
(*.f64 z (/.f64 (cbrt.f64 (*.f64 x x)) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))

prune101.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1301131
Fresh213
Picked101
Done033
Total1335138
Error
0b
Counts
138 → 5
Alt Table
StatusErrorProgram
✓3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
2.7b
(-.f64 x (/.f64 x (/.f64 y z)))
✓2.4b
(-.f64 x (/.f64 (*.f64 z x) y))
✓4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
26.3b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2))
Compiler

Compiled 2110 to 964 computations (54.3% saved)

regimes150.0ms (5.6%)

Accuracy

Total 2.2b remaining (99.6%)

Threshold costs 0b (0%)

Counts
22 → 4
Compiler

Compiled 229 to 107 computations (53.3% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Calls

3 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)
Steps
ItersPointRange
2e+277
∈ [
1.5686204216280982e+277
, 
7.110991475569778e+292
]
2e-121
∈ [
1.0514814187527575e-121
, 
4.0402354404469375e-120
]
-5e+129
∈ [
-7.44814940816364e+129
, 
-4.450286598920416e+119
]
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03291
15191
28191
310491
411691
511991
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (/.f64 x (/.f64 y z))))))
Outputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (-.f64 x (/.f64 (*.f64 z x) y)) (-.f64 x (/.f64 x (/.f64 y z))))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (-.f64 x (/.f64 (*.f64 x z) y)) (-.f64 x (/.f64 x (/.f64 y z))))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) (+.f64 x (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 -1 y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (-.f64 x (/.f64 (*.f64 x z) y)) (-.f64 x (/.f64 x (/.f64 y z))))))

end91.0ms (3.4%)

Stop Event
1×fuel
Compiler

Compiled 183 to 98 computations (46.4% saved)

Profiling

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