Details

Time bar (total: 2.9s)

analyze547.0ms (18.9%)

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
60.3%35.4%4.3%13
63.3%30.4%6.3%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (38.1%)

Results
909.0ms8256×body128valid
174.0ms1547×body128invalid

preprocess60.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
1004×fma-neg_binary64
393×times-frac_binary64
378×div-sub_binary64
312×cancel-sign-sub-inv_binary64
211×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13740
27340
314040
430540
562640
6156940
7320440
8384140
9412440
10428640
11434240
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 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 10 to 6 computations (40% saved)

simplify23.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
377×fma-neg_binary64
309×fma-def_binary64
110×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
48710
516510
638310
772310
8120810
9149310
10158610
11166410
12166810
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 37 to 21 computations (43.2% saved)

localize4.0ms (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)

series14.0ms (0.5%)

Counts
2 → 60
Calls

18 calls:

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

rewrite54.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
463×log-prod_binary64
362×fma-def_binary64
223×fma-neg_binary64
166×expm1-udef_binary64
166×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116717
2272217
Stop Event
1×node limit
Counts
2 → 120
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
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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 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (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 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (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 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.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)))))))

simplify46.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
027661
161585
2107468
3197468
4366468
5665468
61019468
71225468
81323468
91404468
101494468
Stop Event
1×saturated
Counts
180 → 137
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))

prune147.0ms (5.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1343137
Fresh000
Picked101
Done000
Total1353138
Error
0b
Counts
138 → 3
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 x (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
0.1b
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
29.6b
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))))
Compiler

Compiled 1949 to 615 computations (68.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.3%)

Counts
2 → 54
Calls

18 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
1.0ms
z
@0
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
1.0ms
z
@-inf
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
0.0ms
x
@0
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
0.0ms
y
@0
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))

rewrite90.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
613×fma-def_binary64
296×fma-neg_binary64
195×expm1-udef_binary64
195×log1p-udef_binary64
121×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122923
2364023
Stop Event
1×node limit
Counts
2 → 179
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 x (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
Outputs
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) (+.f64 (/.f64 y z) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (/.f64 1 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 z) -1) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) -1 (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) 1 (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 x z) (/.f64 y z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 x z) (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 x z)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (pow.f64 (/.f64 y z) 2)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y z) 2)) (cbrt.f64 (/.f64 y z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) 2) (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (neg.f64 (cbrt.f64 (/.f64 x z))) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 (sqrt.f64 (/.f64 x z))) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) -1) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 (/.f64 x z) (/.f64 y z)) (pow.f64 (/.f64 x z) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) x (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) y (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (/.f64 (-.f64 (neg.f64 x) y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 x z)) 1 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) (cbrt.f64 (+.f64 x (/.f64 x z)))) (cbrt.f64 (+.f64 x (/.f64 x z))) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 x z))) (sqrt.f64 (+.f64 x (/.f64 x z))) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)) (+.f64 (/.f64 y z) x))))) (#(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 x (/.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 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (+.f64 (/.f64 y 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)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))) (#(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 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (+.f64 (/.f64 y z) x))))))

simplify86.0ms (3%)

Algorithm
1×egg-herbie
Rules
385×fma-def_binary64
336×fma-neg_binary64
78×unsub-neg_binary64
62×cancel-sign-sub-inv_binary64
54×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031569
170543
2136426
3244426
4471426
5947426
61544426
71658426
81667426
Stop Event
1×saturated
Counts
233 → 197
Calls
Call 1
Inputs
(/.f64 y z)
(*.f64 -1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 x z))
(/.f64 y 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 (+.f64 y (*.f64 -1 x)) 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)))
x
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) 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 -1 (/.f64 x z)) (+.f64 x (/.f64 y 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)))
Outputs
(/.f64 y z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 y z)
(/.f64 y 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 x 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 x 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 x y) z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.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 x y) 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 x y) 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 x y) z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x))
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.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 x y) 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 x y) 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 x y) z))
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (neg.f64 x)) z)
(/.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 x 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 x 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 x y) z))
x
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) z))
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 x (-.f64 1 (/.f64 1 z)))
(*.f64 x (+.f64 1 (/.f64 -1 z)))
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y 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 x y) 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 x 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 x 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 x y) 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 x 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 x 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 x y) z))

prune147.0ms (5.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1961197
Fresh112
Picked011
Done000
Total1973200
Error
0b
Counts
200 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
▶0.1b
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
25.2b
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z)))
Compiler

Compiled 3110 to 924 computations (70.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (-.f64 y x) (/.f64 1 z) x)

series6.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
1.0ms
y
@0
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
1.0ms
x
@-inf
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms
z
@0
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
0.0ms
z
@-inf
(fma.f64 (-.f64 y x) (/.f64 1 z) x)

rewrite39.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
116910
2222410
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 y x) z) 1) 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 1 (+.f64 x (/.f64 (-.f64 y 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 (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) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)))) (#(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 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))))))

simplify37.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
318×fma-def_binary64
311×fma-neg_binary64
74×distribute-rgt-in_binary64
71×cancel-sign-sub-inv_binary64
46×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027315
162312
2109312
3199312
4368312
5664312
61019312
71225312
81324312
91405312
101495312
Stop Event
1×saturated
Counts
59 → 38
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) 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 -1 (/.f64 x z)) (+.f64 x (/.f64 y 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 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 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 (*.f64 -1 (/.f64 x z)) x)
(fma.f64 -1 (/.f64 x z) x)
(-.f64 x (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.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)
(fma.f64 -1 (/.f64 x 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))
(fma.f64 -1 (/.f64 x z) 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 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 (/.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))

prune38.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done011
Total38341
Error
0b
Counts
41 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
✓0.1b
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
▶25.2b
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z)))
Compiler

Compiled 462 to 155 computations (66.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z)))
✓1.5b
(fma.f64 (neg.f64 x) z (*.f64 z y))
✓28.0b
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z))

series16.0ms (0.5%)

Counts
3 → 108
Calls

27 calls:

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

rewrite68.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
535×log-prod_binary64
285×fma-def_binary64
187×expm1-udef_binary64
187×log1p-udef_binary64
160×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
122034
2318334
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z))
(fma.f64 (neg.f64 x) z (*.f64 z y))
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x z) 1) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (exp.f64 (*.f64 z (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) (cbrt.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 (*.f64 z y) 3)) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 x z) (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 z y) 2)) (neg.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (exp.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z y))) (exp.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x z)) (+.f64 1 (expm1.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) 2) (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) (*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 z -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) z) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 z -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z (+.f64 x y))) (/.f64 1 (*.f64 z (neg.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -2) (*.f64 z (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 z (+.f64 x y)) z) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (/.f64 (*.f64 z (+.f64 x y)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) z) (/.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 z z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) 1) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 z z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 (*.f64 z (+.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (+.f64 x y)) (pow.f64 z -2)))))))

simplify153.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
937×fma-def_binary64
880×fma-neg_binary64
360×div-sub_binary64
267×associate-/l*_binary64
189×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0391123
11021002
2210792
3370792
4681792
51481792
62799792
73367792
84112792
94226792
104366792
114406792
124416792
134434792
144642792
154879792
164881792
174883792
184893792
Stop Event
1×saturated
Counts
245 → 163
Calls
Call 1
Inputs
(/.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 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) 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 -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 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 z (+.f64 y (*.f64 -1 x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z (+.f64 (*.f64 -1 y) x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 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 y (*.f64 -1 x)) 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)))
x
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) x))
(+.f64 (*.f64 -1 (/.f64 x z)) (+.f64 (/.f64 y z) 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 -1 (/.f64 x z)) (+.f64 x (/.f64 y 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)))
Outputs
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x 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 z) (/.f64 x 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 z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x 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 z) (/.f64 x 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 z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x 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 z) (/.f64 x 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 z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 y (*.f64 -1 x)) z)
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 y) x) z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(fma.f64 -1 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
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prune84.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1630163
Fresh000
Picked011
Done022
Total1633166
Error
0b
Counts
166 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x (+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z)))
✓0.1b
(fma.f64 (-.f64 y x) (/.f64 1 z) x)
✓25.2b
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z)))
Compiler

Compiled 2739 to 1104 computations (59.7% saved)

regimes58.0ms (2%)

Accuracy

Total -25.7b remaining (-172101.5%)

Threshold costs -25.7b (-172101.5%)

Counts
27 → 1
Compiler

Compiled 245 to 99 computations (59.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21510
31710
41810
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 y x) z) x)
Outputs
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 x (/.f64 (-.f64 y x) z))

end36.0ms (1.2%)

Stop Event
1×done
Compiler

Compiled 52 to 27 computations (48.1% saved)

Profiling

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