Details

Time bar (total: 6.5s)

analyze174.0ms (2.7%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
29.6%70.2%0.1%9
42.1%57.7%0.1%10
47.6%52.1%0.3%11
53.8%44.6%1.6%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (22.6%)

Results
1.2s8256×body256valid
258.0ms1925×body256invalid

preprocess301.0ms (4.6%)

Algorithm
2×egg-herbie
Rules
1612×fma-neg_binary64
563×fma-def_binary64
490×div-sub_binary64
453×associate-/l*_binary64
453×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13740
27340
314040
430740
563240
6157540
7364140
8429540
9457640
10473840
11479440
12572640
13577840
14599440
15685840
16768440
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(-.f64 y (/.f64 (-.f64 y x) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(-.f64 z (/.f64 (-.f64 z y) x))
(+.f64 x (/.f64 (-.f64 z x) y))
(-.f64 x (/.f64 (-.f64 x z) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify48.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
377×fma-neg_binary64
307×fma-def_binary64
119×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
56×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34210
48810
516610
638510
772410
8121510
9150010
10159310
11167110
12167510
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

eval1.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 6 computations (40% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series19.0ms (0.3%)

Counts
2 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/.f64 (-.f64 y x) z)
2.0ms
x
@inf
(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms
y
@inf
(/.f64 (-.f64 y x) z)
1.0ms
y
@0
(/.f64 (-.f64 y x) z)
1.0ms
x
@0
(+.f64 x (/.f64 (-.f64 y x) z))

rewrite109.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
462×log-prod_binary64
362×fma-def_binary64
354×exp-prod_binary64
315×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116717
2273117
Stop Event
1×node limit
Counts
2 → 144
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
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2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) z)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) 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(-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 y x) z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))))

simplify116.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
325×fma-def_binary64
311×fma-neg_binary64
73×distribute-rgt-in_binary64
71×cancel-sign-sub-inv_binary64
45×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027661
161585
2107468
3199468
4368468
5661468
61026468
71232468
81331468
91412468
101502468
Stop Event
1×saturated
Counts
204 → 161
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
Outputs
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 1 z)) x (/.f64 y z))
(fma.f64 x (-.f64 1 (/.f64 1 z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))

eval68.0ms (1%)

Compiler

Compiled 2175 to 675 computations (69% saved)

prune49.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1565161
Fresh000
Picked011
Done000
Total1566162
Error
0b
Counts
162 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
34.4b
x
▶0.0b
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶0.7b
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
▶20.8b
(-.f64 x (/.f64 x z))
▶14.5b
(+.f64 x (/.f64 y z))
Compiler

Compiled 55 to 35 computations (36.4% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series26.0ms (0.4%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@0
(+.f64 x (/.f64 y z))
1.0ms
z
@-inf
(+.f64 x (/.f64 y z))
1.0ms
z
@inf
(+.f64 x (/.f64 y z))
0.0ms
x
@inf
(+.f64 x (/.f64 y z))
0.0ms
z
@0
(+.f64 x (/.f64 y z))

rewrite66.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
808×pow1_binary64
752×add-log-exp_binary64
752×log1p-expm1-u_binary64
752×expm1-log1p-u_binary64
735×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219917
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 x (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 2) (-.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2)) (cbrt.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (-.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)) (+.f64 (pow.f64 (/.f64 y z) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (-.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))) (neg.f64 (-.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 x x)) (-.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))))))

simplify144.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06126
17126
Stop Event
1×saturated
Counts
58 → 37
Calls
Call 1
Inputs
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
Outputs
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
x
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)
(+.f64 (/.f64 y z) x)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
0.0b
(/.f64 (-.f64 y x) z)
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
✓2.7b
(cbrt.f64 (/.f64 (-.f64 y x) z))
Compiler

Compiled 39 to 12 computations (69.2% saved)

series30.0ms (0.5%)

Counts
3 → 31
Calls

27 calls:

TimeVariablePointExpression
5.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
2.0ms
y
@0
(cbrt.f64 (/.f64 (-.f64 y x) z))
2.0ms
x
@0
(cbrt.f64 (/.f64 (-.f64 y x) z))
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)

rewrite205.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary64
397×fma-def_binary64
377×pow-prod-down_binary64
289×pow2_binary64
241×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123626
2324826
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (-.f64 y x) z))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 y x) z) 1/6) (pow.f64 (/.f64 (-.f64 y x) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 y x))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 y x))) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 y x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 1))))))
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1) (/.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) 5/6) (pow.f64 (/.f64 (-.f64 y x) z) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) 1) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) x)))))

simplify106.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
687×associate-+l+_binary64
436×distribute-rgt-in_binary64
434×distribute-lft-in_binary64
336×associate-/r*_binary64
291×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383202
18332759
231092722
Stop Event
1×node limit
Counts
215 → 231
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 2)) (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))))))
(pow.f64 (/.f64 y z) 1/3)
(+.f64 (pow.f64 (/.f64 y z) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)))
(+.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2)))))
(+.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 2)) (pow.f64 y 2)) 1/3) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2))))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 z) x) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 z 2) x))))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))
(*.f64 (pow.f64 1 1/3) (/.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (/.f64 y z)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (/.f64 y z))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9))) x) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 y z)) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 z) y) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))))) (pow.f64 x 3)))))
(*.f64 (pow.f64 1 1/3) (/.f64 y z))
(+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)))) x) (*.f64 (pow.f64 1 1/3) (/.f64 y z)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)))) x) (*.f64 (pow.f64 1 1/3) (/.f64 y z))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 y (pow.f64 z 17))) 1/9)) (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 4)) (pow.f64 z 13)) 1/9)))) x) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 y z)) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 z) y) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 z 14))) 1/9)))))))) (pow.f64 x 3)))))
x
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) x)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 z) x) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 z 2) x))))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) x))))
x
x
x
x
x
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18)) (*.f64 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 (*.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18)) (*.f64 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 2)) (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 (*.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 x x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))))))))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x))) (pow.f64 y 3)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7))))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18)) (*.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18))) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (*.f64 z (/.f64 z (*.f64 x x)))) (*.f64 -1/3 (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 y 3)) -5/27)))))))
(pow.f64 (/.f64 y z) 1/3)
(cbrt.f64 (/.f64 y z))
(+.f64 (pow.f64 (/.f64 y z) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)))
(+.f64 (*.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18)))) (cbrt.f64 (/.f64 y z)))
(fma.f64 (*.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (*.f64 y (*.f64 y (pow.f64 z 7)))) 1/18)) (pow.f64 (/.f64 1 (*.f64 y (*.f64 y (pow.f64 z 7)))) 1/18)) x (cbrt.f64 (/.f64 y z)))
(fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18))) (cbrt.f64 (/.f64 y z)))
(+.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 y y))) 1/18))) (*.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18))))) (cbrt.f64 (/.f64 y z)))
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x
x
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(-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18) (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (*.f64 -1/9 (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9))) x)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 z) x) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 z 2) x))))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/3)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x z))) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 z 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) z) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) x))))
(fma.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x)))))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))))) (cbrt.f64 -1))) (*.f64 2/27 (/.f64 1 (*.f64 x (*.f64 z z)))))) (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (*.f64 x x))))))))) (fma.f64 -1 (/.f64 x z) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18) (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) x))))
(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7))))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7))))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (cbrt.f64 -1))) (/.f64 2/27 (*.f64 x (*.f64 z z))))) (/.f64 (*.f64 -2/27 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 z 7)))))) (pow.f64 (cbrt.f64 -1) 2))))) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18) (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 z 14))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 -1/9 (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18)) (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18)))) x)) (/.f64 x z)))
(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x)) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 -1)) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) -5/27))) (/.f64 (/.f64 2/27 (*.f64 z z)) x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) -2/27)))) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18) (pow.f64 (/.f64 (pow.f64 x 4) (pow.f64 z 13)) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 z 14)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (*.f64 -1/9 (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (pow.f64 z 17))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9))) x)) (/.f64 x z)))
x
x
x
x
x

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217897
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 1 z)) x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2) (cbrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))) (neg.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (*.f64 x (/.f64 (neg.f64 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (-.f64 x (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) z))))))

simplify120.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
148×fma-def_binary64
74×fma-neg_binary64
28×distribute-rgt-in_binary64
25×distribute-lft-in_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014218
132218
267155
3132155
4223155
5385155
6621155
7649155
Stop Event
1×saturated
Counts
60 → 43
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
Outputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(-.f64 x (/.f64 x z))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 7 computations (73.1% saved)

series8.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite261.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
572×fma-def_binary64
527×log-prod_binary64
402×pow-prod-down_binary64
348×fma-neg_binary64
277×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
119117
2320917
Stop Event
1×node limit
Counts
2 → 263
Calls
Call 1
Inputs
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
Outputs
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simplify64.0ms (1%)

Algorithm
1×egg-herbie
Rules
265×fma-def_binary64
251×fma-neg_binary64
69×distribute-rgt-in_binary64
65×cancel-sign-sub-inv_binary64
52×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032532
182532
2175469
3472469
4868469
51264469
61438469
71444469
Stop Event
1×saturated
Counts
323 → 283
Calls
Call 1
Inputs
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(/.f64 x z)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
(+.f64 (*.f64 -1 x) (/.f64 x z))
Outputs
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (/.f64 y z) (*.f64 (-.f64 1 (/.f64 1 z)) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 (-.f64 (/.f64 1 z) 1) x)
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)
(+.f64 (*.f64 -1 x) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 1 z) -1))
(*.f64 x (+.f64 -1 (/.f64 1 z)))
(-.f64 (/.f64 x z) x)

eval514.0ms (7.9%)

Compiler

Compiled 14314 to 6503 computations (54.6% saved)

prune127.0ms (1.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New6575662
Fresh101
Picked011
Done044
Total65810668
Error
0b
Counts
668 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.1b
(/.f64 (neg.f64 x) z)
✓14.5b
(+.f64 x (/.f64 y z))
▶28.6b
(/.f64 (-.f64 y x) z)
▶42.4b
(/.f64 y z)
✓0.7b
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
▶28.6b
(-.f64 (/.f64 y z) (/.f64 x z))
34.4b
x
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
✓20.8b
(-.f64 x (/.f64 x z))
✓0.0b
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
Compiler

Compiled 86 to 55 computations (36% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite109.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
474×log-prod_binary64
352×exp-prod_binary64
352×fma-def_binary64
346×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11657
227317
Stop Event
1×node limit
Counts
1 → 165
Calls
Call 1
Inputs
(-.f64 (/.f64 y z) (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 1 z)) x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (neg.f64 x) z) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) (*.f64 z x)) (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 z x) -3)) (/.f64 1 (fma.f64 (/.f64 x z) (+.f64 (/.f64 y z) (/.f64 x z)) (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 (/.f64 y z) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z z) (-.f64 (*.f64 y z) (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 y z) (/.f64 x z)) (pow.f64 (/.f64 y z) 2)) (-.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 z x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> 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fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 (/.f64 y z) (/.f64 x z))) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 (/.f64 y z) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 (/.f64 y z) (/.f64 x z))) (+.f64 (/.f64 (neg.f64 x) z) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) z)) 2) (cbrt.f64 (/.f64 (neg.f64 x) z)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) z)) (sqrt.f64 (/.f64 (neg.f64 x) z)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y z)) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 1 z)) x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (+.f64 (/.f64 (neg.f64 x) z) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (/.f64 y z))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
164×fma-def_binary64
117×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
42×distribute-rgt-in_binary64
35×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016360
143240
292240
3207240
4411240
5746240
6895240
7921240
8952240
9957240
Stop Event
1×saturated
Counts
201 → 170
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
Outputs
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) (*.f64 -1 x)) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 y x) z)

localize6.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize182.0ms (2.8%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

eval260.0ms (4%)

Compiler

Compiled 3463 to 1009 computations (70.9% saved)

prune221.0ms (3.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2380238
Fresh011
Picked011
Done088
Total23810248
Error
0b
Counts
248 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓49.1b
(/.f64 (neg.f64 x) z)
✓14.5b
(+.f64 x (/.f64 y z))
✓28.6b
(/.f64 (-.f64 y x) z)
✓42.4b
(/.f64 y z)
✓0.7b
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
✓28.6b
(-.f64 (/.f64 y z) (/.f64 x z))
34.4b
x
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
✓20.8b
(-.f64 x (/.f64 x z))
✓0.0b
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
Compiler

Compiled 86 to 55 computations (36% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done099
Total01010
Error
0b
Counts
10 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓49.1b
(/.f64 (neg.f64 x) z)
✓14.5b
(+.f64 x (/.f64 y z))
✓28.6b
(/.f64 (-.f64 y x) z)
✓42.4b
(/.f64 y z)
✓0.7b
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
✓28.6b
(-.f64 (/.f64 y z) (/.f64 x z))
34.4b
x
✓0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
✓20.8b
(-.f64 x (/.f64 x z))
✓0.0b
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
Compiler

Compiled 86 to 55 computations (36% saved)

regimes157.0ms (2.4%)

Counts
11 → 1
Calls
Call 1
Inputs
x
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(+.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
Calls

4 calls:

118.0ms
x
12.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
11.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 82 to 34 computations (58.5% saved)

regimes244.0ms (3.7%)

Counts
8 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
Outputs
(+.f64 x (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 y z))
Calls

3 calls:

180.0ms
z
34.0ms
y
26.0ms
x
Results
ErrorSegmentsBranch
6.8b3x
6.1b3y
0.9b3z
Compiler

Compiled 46 to 21 computations (54.3% saved)

bsearch194.0ms (3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
122.0ms
0.0005123413392672705
82.12580973346132
72.0ms
-1333691.9209236791
-436.0642739896055
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes122.0ms (1.9%)

Counts
6 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
Outputs
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 x z))
Calls

3 calls:

57.0ms
z
31.0ms
y
31.0ms
x
Results
ErrorSegmentsBranch
9.4b3x
13.5b3y
10.8b3z
Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch95.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
2.4071240693612163e-45
4.4064473410857415e-38
31.0ms
-3.7002860975192385e-108
-1.9148775372051154e-112
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes312.0ms (4.8%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 (-.f64 y x) z)
Outputs
x
(/.f64 (-.f64 y x) z)
x
Calls

3 calls:

238.0ms
y
38.0ms
x
34.0ms
z
Results
ErrorSegmentsBranch
16.2b7x
21.3b5y
10.8b3z
Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.1198409641437066e+23
2.7510758616220504e+29
18.0ms
-9.901814219678653e+20
-369284382142511.4
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes82.0ms (1.3%)

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

3 calls:

52.0ms
y
18.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
22.3b5x
25.0b5y
21.6b3z
Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch44.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
0.0005123413392672705
82.12580973346132
17.0ms
-436.0642739896055
-2.3906662081336655e-8
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes42.0ms (0.6%)

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

3 calls:

15.0ms
y
14.0ms
z
12.0ms
x
Results
ErrorSegmentsBranch
23.3b3x
27.1b3y
24.5b3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch65.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
48.0ms
2.4071240693612163e-45
4.4064473410857415e-38
17.0ms
-3.7002860975192385e-108
-1.9148775372051154e-112
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

3 calls:

4.0ms
y
3.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
34.4b1x
34.4b1y
34.4b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038136
148136
254136
357136
458136
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -1432040795826655/1073741824) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1181378695480617/2305843009213693952) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x -4892192421993337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (-.f64 x (/.f64 x z)) (if (<=.f64 x 3868099244308055/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 y x) z) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -990181421967865282560) x (if (<=.f64 z 111984096414370656944128) (/.f64 (-.f64 y x) z) x))
(if (<=.f64 z -7671323835348333/17592186044416) x (if (<=.f64 z 1181378695480617/2305843009213693952) (/.f64 (neg.f64 x) z) x))
(if (<=.f64 x -4892192421993337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) x (if (<=.f64 x 3868099244308055/1606938044258990275541962092341162602522202993782792835301376) (/.f64 y z) x))
x
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -1432040795826655/1073741824) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1181378695480617/2305843009213693952) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x -4892192421993337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (-.f64 x (/.f64 x z)) (if (<=.f64 x 3868099244308055/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 y x) z) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -990181421967865282560) x (if (<=.f64 z 111984096414370656944128) (/.f64 (-.f64 y x) z) x))
(if (<=.f64 z -7671323835348333/17592186044416) x (if (<=.f64 z 1181378695480617/2305843009213693952) (/.f64 (neg.f64 x) z) x))
(if (<=.f64 x -4892192421993337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) x (if (<=.f64 x 3868099244308055/1606938044258990275541962092341162602522202993782792835301376) (/.f64 y z) x))
x
Compiler

Compiled 117 to 67 computations (42.7% saved)

soundness0.0ms (0%)

end91.0ms (1.4%)

Compiler

Compiled 99 to 42 computations (57.6% saved)

Profiling

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