Details

Time bar (total: 7.0s)

analyze250.0ms (3.6%)

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
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (16.3%)

Results
937.0ms8250×body64valid
185.0ms957×body64invalid
1.0ms6×body128valid

preprocess66.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
786×div-sub_binary64
505×sub-neg_binary64
434×fma-def_binary64
430×neg-mul-1_binary64
343×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
444940
5110040
6356240
7700540
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)))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(/.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)
(fma.f64 z (/.f64 y (neg.f64 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)

simplify43.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
816×fma-def_binary64
681×fma-neg_binary64
463×associate-/l*_binary64
368×associate-*l/_binary64
322×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36210
413410
524210
644310
7126510
8571210
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)))

prune2.0ms (0%)

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
13.4b
(/.f64 (*.f64 x (-.f64 y z)) y)
▶5.8b
(-.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)))
✓7.0b
(/.f64 z (/.f64 y x))

series11.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite94.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
697×prod-diff_binary64
493×log-prod_binary64
280×pow-prod-down_binary64
239×fma-def_binary64
234×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
1×node limit
Counts
2 → 266
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
((#(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 x) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z 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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) 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simplify75.0ms (1.1%)

Algorithm
1×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
1×saturated
Counts
338 → 275
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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.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 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 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)))

prune874.0ms (12.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2696275
Fresh101
Picked011
Done000
Total2707277
Error
0b
Counts
277 → 7
Alt Table
StatusErrorProgram
4.6b
(fma.f64 (neg.f64 (/.f64 z y)) x x)
▶4.5b
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
4.5b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
5.5b
(fma.f64 (neg.f64 z) (/.f64 x y) x)
34.1b
(-.f64 x (*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x)))
✓5.8b
(-.f64 x (/.f64 z (/.f64 y x)))
28.8b
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)
Compiler

Compiled 7162 to 2425 computations (66.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
✓0.9b
(pow.f64 (/.f64 y (*.f64 z x)) -1)
✓5.5b
(/.f64 y (*.f64 z x))

series14.0ms (0.2%)

Counts
3 → 72
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (/.f64 y (*.f64 z x)) -1)
1.0ms
y
@0
(/.f64 y (*.f64 z x))
1.0ms
y
@0
(pow.f64 (/.f64 y (*.f64 z x)) -1)
1.0ms
z
@-inf
(pow.f64 (/.f64 y (*.f64 z x)) -1)
1.0ms
y
@-inf
(pow.f64 (/.f64 y (*.f64 z x)) -1)

rewrite97.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
502×prod-diff_binary64
315×pow-prod-down_binary64
266×pow2_binary64
202×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
119924
2283124
Stop Event
1×node limit
Counts
3 → 279
Calls
Call 1
Inputs
(/.f64 y (*.f64 z x))
(pow.f64 (/.f64 y (*.f64 z x)) -1)
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) 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simplify54.0ms (0.8%)

Algorithm
1×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
1×saturated
Counts
351 → 286
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)
(*.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)
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)
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))
(*.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))
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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)
(*.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 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))
(*.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))
(*.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))
(/.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 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 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 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)))
(*.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)))
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)))

prune864.0ms (12.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2842286
Fresh325
Picked011
Done011
Total2876293
Error
0b
Counts
293 → 6
Alt Table
StatusErrorProgram
4.6b
(fma.f64 (neg.f64 (/.f64 z y)) x x)
✓4.5b
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
5.5b
(fma.f64 (neg.f64 z) (/.f64 x y) x)
4.9b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y))))
▶4.4b
(-.f64 x (/.f64 x (/.f64 y z)))
✓5.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 6698 to 2096 computations (68.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 x (/.f64 y z)))
✓7.3b
(/.f64 x (/.f64 y z))

series6.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(-.f64 x (/.f64 x (/.f64 y z)))
0.0ms
x
@0
(/.f64 x (/.f64 y z))
0.0ms
z
@-inf
(/.f64 x (/.f64 y z))
0.0ms
x
@-inf
(-.f64 x (/.f64 x (/.f64 y z)))
0.0ms
y
@-inf
(-.f64 x (/.f64 x (/.f64 y z)))

rewrite88.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
710×prod-diff_binary64
491×log-prod_binary64
271×pow-prod-down_binary64
234×pow2_binary64
223×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259217
Stop Event
1×node limit
Counts
2 → 260
Calls
Call 1
Inputs
(/.f64 x (/.f64 y z))
(-.f64 x (/.f64 x (/.f64 y z)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (+.f64 (*.f64 (neg.f64 x) (/.f64 z y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> 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z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 x y)) z x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x))) 2))))))

simplify54.0ms (0.8%)

Algorithm
1×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
1×saturated
Counts
332 → 269
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)
(*.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)
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)
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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.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 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 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)))
(*.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)))
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)))

prune1.1s (16%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2663269
Fresh303
Picked011
Done022
Total2696275
Error
0b
Counts
275 → 6
Alt Table
StatusErrorProgram
▶4.5b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
✓4.5b
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
4.6b
(fma.f64 (neg.f64 x) (/.f64 z y) x)
5.5b
(fma.f64 (/.f64 x y) (neg.f64 z) x)
✓4.4b
(-.f64 x (/.f64 x (/.f64 y z)))
✓5.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 6984 to 2093 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
✓0.2b
(/.f64 x (/.f64 1 z))
✓6.1b
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))

series8.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

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

rewrite251.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
762×prod-diff_binary64
601×log-prod_binary64
295×pow2_binary64
241×egg-rr
238×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
122821
2336221
Stop Event
1×node limit
Counts
3 → 336
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(/.f64 x (/.f64 1 z))
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
Outputs
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(neg.f64 x) (/.f64 y z)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (/.f64 -1 y) (*.f64 x z) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) 1) (*.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) x) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) (pow.f64 (cbrt.f64 (*.f64 x z)) 2)) (cbrt.f64 (*.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 1))))))

simplify61.0ms (0.9%)

Algorithm
1×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
016678
135678
266678
3116678
4224678
5410678
6777678
71053678
81243678
91362678
101376678
111381678
Stop Event
1×saturated
Counts
432 → 345
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 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z 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 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)
(*.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)
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)
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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z 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 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 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)))
(*.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)))
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)))

prune1.7s (23.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3450345
Fresh022
Picked011
Done033
Total3456351
Error
0b
Counts
351 → 6
Alt Table
StatusErrorProgram
✓4.5b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
✓4.5b
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
4.6b
(fma.f64 (neg.f64 x) (/.f64 z y) x)
5.5b
(fma.f64 (/.f64 x y) (neg.f64 z) x)
✓4.4b
(-.f64 x (/.f64 x (/.f64 y z)))
✓5.8b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 9272 to 3690 computations (60.2% saved)

regimes107.0ms (1.5%)

Accuracy

Total -48.5b remaining (-44343.8%)

Threshold costs -48.5b (-44343.8%)

Counts
13 → 5
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y))))
(-.f64 x (/.f64 x (/.f64 y z)))
(fma.f64 (neg.f64 (/.f64 z y)) x x)
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1))
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(-.f64 x (*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)
(-.f64 x (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
Results
41.0ms1.0bx
15.0ms2.0by
15.0ms1.8bz
32.0ms0.1b(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 145 to 68 computations (53.1% saved)

bsearch1.0ms (0%)

Algorithm
4×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
1e+292
∈ [
7.149063690405628e+291
, 
1.0952040424889352e+292
]
1e-36
∈ [
8.341140701660208e-37
, 
3.692242027116529e-28
]
-5e+44
∈ [
-6.085530858248858e+44
, 
-3.727544083589012e+44
]
#hash((type . real) (value . -inf))
∈ [
#hash((type . real) (value . -inf))
, 
-8.809136623972664e+306
]
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032116
148116
269116
381116
487116
588116
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -499999999999999964878644512267775609965379584) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 2993155353253689/2993155353253689176481146537402947624255349848014848) (fma.f64 (neg.f64 x) (/.f64 z y) x) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656) (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) (fma.f64 (neg.f64 x) (/.f64 z y) x)))))
Outputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -499999999999999964878644512267775609965379584) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 2993155353253689/2993155353253689176481146537402947624255349848014848) (fma.f64 (neg.f64 x) (/.f64 z y) x) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656) (-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))) (fma.f64 (neg.f64 x) (/.f64 z y) x)))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -499999999999999964878644512267775609965379584) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 2993155353253689/2993155353253689176481146537402947624255349848014848) (fma.f64 (neg.f64 x) (/.f64 z y) x) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656) (+.f64 x (*.f64 (/.f64 z (/.f64 1 x)) (/.f64 -1 y))) (fma.f64 (neg.f64 x) (/.f64 z y) x)))))

end29.0ms (0.4%)

Stop Event
1×fuel
Compiler

Compiled 164 to 62 computations (62.2% saved)

Profiling

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