Details

Time bar (total: 2.6s)

analyze847.0ms (32.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
21.1%74.5%4.4%10
25.4%69.8%4.8%11
30.6%64.2%5.2%12
44.6%44%11.4%13
48.2%40.1%11.7%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (40.9%)

Results
935.0ms8256×body128valid
113.0ms934×body128invalid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess32.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
738×fma-def_binary64
512×times-frac_binary64
268×div-sub_binary64
246×fma-neg_binary64
235×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02564
16964
217856
358756
4172356
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(*.f64 (/.f64 4 z) (-.f64 x (+.f64 y (*.f64 z 1/2))))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (*.f64 4 (-.f64 (-.f64 y x) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 y x) (*.f64 z 1/2))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (*.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(/.f64 (fma.f64 4 (-.f64 y x) (*.f64 z -2)) z)
(/.f64 (*.f64 4 (-.f64 (-.f64 z y) (*.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 z (+.f64 y (*.f64 x 1/2)))))
(*.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (*.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(/.f64 (*.f64 4 (-.f64 (-.f64 x z) (*.f64 y 1/2))) y)
(/.f64 4 (/.f64 y (-.f64 (-.f64 x z) (*.f64 y 1/2))))
(*.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (*.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 (fma.f64 y -1/2 (-.f64 x z)) (/.f64 4 y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
795×fma-def_binary64
760×times-frac_binary64
398×associate-/l*_binary64
350×div-sub_binary64
279×fma-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25914
318414
452214
5167511
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 z 4))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
0.2b
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

series7.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@0
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
z
@inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
1.0ms
x
@-inf
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

rewrite52.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
429×fma-def_binary64
250×fma-neg_binary64
233×expm1-udef_binary64
233×log1p-udef_binary64
132×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01116
125516
2369414
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 2) (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) (sqrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (*.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) 1) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 1) (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 1))))))

simplify43.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
652×times-frac_binary64
555×fma-neg_binary64
513×fma-def_binary64
281×cancel-sign-sub-inv_binary64
186×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026579
163523
2147410
3287356
4562356
51109353
62561353
74096353
Stop Event
1×node limit
Counts
79 → 56
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
Outputs
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (fma.f64 1/2 z y) z))
(*.f64 (/.f64 -4 z) (fma.f64 1/2 z y))
(*.f64 (fma.f64 1/2 z y) (/.f64 -4 z))
(fma.f64 -4 (/.f64 y z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(*.f64 4 (/.f64 (+.f64 x (*.f64 -1/2 z)) z))
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(/.f64 -4 (/.f64 z y))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 (/.f64 4 z) (-.f64 x y)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)

prune40.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh101
Picked101
Done000
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
0.2b
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
Compiler

Compiled 828 to 546 computations (34.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 2 (*.f64 4 (/.f64 y z)))
✓0.0b
(*.f64 4 (/.f64 y z))
✓0.0b
(*.f64 4 (/.f64 x z))

series12.0ms (0.5%)

Counts
3 → 6
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 4 (/.f64 x z))
2.0ms
z
@inf
(*.f64 4 (/.f64 x z))
1.0ms
x
@0
(*.f64 4 (/.f64 x z))
1.0ms
z
@0
(*.f64 4 (/.f64 x z))
1.0ms
x
@inf
(*.f64 4 (/.f64 x z))

rewrite54.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
605×log-prod_binary64
217×expm1-udef_binary64
217×log1p-udef_binary64
176×log-pow_binary64
156×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01124
124222
2321022
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 y z))
(+.f64 2 (*.f64 4 (/.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 4 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 4 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 4 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 4 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 4 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 4 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 4 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 4 x) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (/.f64 z y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 y z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (/.f64 4 (/.f64 z y)))) (/.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 2) (-.f64 2 (/.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 y z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 y z) 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 y z) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 y z) 2)) 2) (cbrt.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 y z) 2)) (sqrt.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 64 8) (/.f64 1 (fma.f64 (/.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 y z) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (/.f64 4 (/.f64 z y)) 2)) (/.f64 1 (-.f64 2 (/.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 y z) -2) 4) (fma.f64 (pow.f64 (/.f64 y z) 3) 64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (/.f64 4 (/.f64 z y))) (-.f64 4 (pow.f64 (/.f64 4 (/.f64 z y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 64 8) (fma.f64 (/.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 y z) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 64 8) (fma.f64 (pow.f64 (/.f64 y z) 2) 16 (-.f64 4 (*.f64 8 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 4 (/.f64 z y)) 2)) (-.f64 2 (/.f64 4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 64 8)) (neg.f64 (fma.f64 (/.f64 4 (/.f64 z y)) (fma.f64 4 (/.f64 y z) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 4 (/.f64 z y)) 2))) (neg.f64 (-.f64 2 (/.f64 4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y z) 2) 16 -4) (fma.f64 4 (/.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 y z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 y z) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 y z) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 y z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 y z) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 y z) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 y z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 z) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) 4 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (/.f64 z y)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (/.f64 z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (/.f64 z y))) (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 4 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 4 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 y z))) (*.f64 2 (sqrt.f64 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 y) (/.f64 1 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 y z) 2)) 1))))))

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
1×associate-*r/_binary64
1×associate-*l/_binary64
1×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
1×saturated
Counts
100 → 97
Calls
Call 1
Inputs
2
(*.f64 4 (/.f64 y z))
(*.f64 4 (/.f64 y z))
(*.f64 4 (/.f64 y z))
2
2
Outputs
2
(*.f64 4 (/.f64 y z))
(*.f64 (/.f64 4 z) y)
(*.f64 4 (/.f64 y z))
(*.f64 (/.f64 4 z) y)
(*.f64 4 (/.f64 y z))
(*.f64 (/.f64 4 z) y)
2
2

prune62.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done000
Total97299
Error
0b
Counts
99 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
▶0.2b
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
Compiler

Compiled 1748 to 1064 computations (39.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))

series11.0ms (0.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
1.0ms
z
@-inf
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
1.0ms
z
@0
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
1.0ms
x
@0
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
0.0ms
y
@-inf
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))

rewrite48.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
452×prod-diff_binary64
207×fma-def_binary64
200×expm1-udef_binary64
200×log1p-udef_binary64
158×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
122214
2291314
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 4 z)) (*.f64 (neg.f64 (fma.f64 z 1/2 y)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 z) x) (*.f64 (/.f64 4 z) (neg.f64 (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (*.f64 (*.f64 z 1/4) (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) (*.f64 (*.f64 z 1/4) (+.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 z (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (*.f64 (neg.f64 z) (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 z (+.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2))) (*.f64 (neg.f64 z) (+.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 4) (*.f64 (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) 4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) 1) (*.f64 (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x)) (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) 1) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) -4) (*.f64 (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) -4) (*.f64 (+.f64 x (fma.f64 z 1/2 y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (-.f64 x (fma.f64 z 1/2 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)) (/.f64 4 z)) (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) (/.f64 4 z)) (+.f64 x (fma.f64 z 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3))) (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 z) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2))) (+.f64 x (fma.f64 z 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (fma.f64 z 1/2 y)) -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (-.f64 x (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 z) 3) (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x (fma.f64 z 1/2 y)) 3) (pow.f64 (/.f64 4 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 z) x (*.f64 (/.f64 4 z) (neg.f64 (fma.f64 z 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 4 z) (*.f64 (neg.f64 (fma.f64 z 1/2 y)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))) 1))))))

simplify43.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
652×times-frac_binary64
555×fma-neg_binary64
513×fma-def_binary64
281×cancel-sign-sub-inv_binary64
186×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026579
163523
2147410
3287356
4562356
51109353
62558353
74086353
Stop Event
1×node limit
Counts
81 → 58
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
-2
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (+.f64 y (*.f64 z 1/2)) z))
(*.f64 -4 (/.f64 (fma.f64 z 1/2 y) z))
(fma.f64 y (/.f64 -4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(/.f64 x (/.f64 z 4))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 4 (/.f64 x z))
(/.f64 x (/.f64 z 4))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z))
(*.f64 4 (/.f64 (-.f64 x (*.f64 z 1/2)) z))
(*.f64 4 (/.f64 (+.f64 x (*.f64 z -1/2)) z))
(fma.f64 4 (/.f64 x z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(/.f64 (*.f64 y -4) z)
(*.f64 y (/.f64 -4 z))
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
(+.f64 (fma.f64 4 (/.f64 x z) -2) (/.f64 -4 (/.f64 z y)))
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

prune38.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260
Error
0b
Counts
60 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 4 (/.f64 x z)) (+.f64 2 (*.f64 4 (/.f64 y z))))
✓0.2b
(*.f64 (/.f64 4 z) (-.f64 x (fma.f64 z 1/2 y)))
Compiler

Compiled 900 to 559 computations (37.9% saved)

regimes145.0ms (5.6%)

Accuracy

Total 0.0b remaining (54.9%)

Threshold costs 0.0b (54.9%)

Counts
40 → 1
Compiler

Compiled 410 to 248 computations (39.5% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11417
21917
32117
42217
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 x z)) (fma.f64 (/.f64 y z) 4 2))
Outputs
(-.f64 (*.f64 4 (/.f64 x z)) (fma.f64 (/.f64 y z) 4 2))

end50.0ms (1.9%)

Stop Event
1×done
Compiler

Compiled 59 to 43 computations (27.1% saved)

Profiling

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