Details

Time bar (total: 1.2s)

analyze123.0ms (10.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
59.3%35.9%4.8%8
67.1%25.8%7.1%9
72.6%19.1%8.3%10
76.9%13.5%9.7%11
79.8%9.9%10.3%12
82%6.9%11.1%13
83.6%5%11.4%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample702.0ms (58.5%)

Results
677.0ms8253×body128valid
10.0ms123×body128invalid
2.0ms2×body1024valid
0.0ms1×body512valid

preprocess34.0ms (2.9%)

Algorithm
2×egg-herbie
Rules
643×fma-def_binary64
315×fma-neg_binary64
113×cancel-sign-sub-inv_binary64
78×distribute-rgt-in_binary64
59×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12220
24516
312316
426816
555016
6109016
7177616
8195216
9197016
10197016
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(-.f64 (*.f64 x (+.f64 1 y)) y)
(fma.f64 x (+.f64 1 y) (neg.f64 y))
(-.f64 (fma.f64 x y x) y)
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
408×fma-def_binary64
244×fma-neg_binary64
73×cancel-sign-sub-inv_binary64
46×distribute-rgt-in_binary64
36×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11410
2278
3668
41358
52648
64928
79258
812388
912878
1012968
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)

prune3.0ms (0.2%)

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 (fma.f64 x y y) x)
▶0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 49 to 28 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(-.f64 (*.f64 (+.f64 x 1) y) x)
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 x 1) y) x)
1.0ms
y
@inf
(-.f64 (*.f64 (+.f64 x 1) y) x)
1.0ms
y
@0
(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0ms
x
@inf
(-.f64 (*.f64 (+.f64 x 1) y) x)

rewrite43.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
840×pow1_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
80×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2210417
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(*.f64 (+.f64 x 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) 1))))))

simplify43.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
280×fma-def_binary64
227×fma-neg_binary64
69×cancel-sign-sub-inv_binary64
39×distribute-rgt-in_binary64
35×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020332
144286
290286
3176286
4406286
5813286
61086286
71115286
81118286
Stop Event
1×saturated
Counts
108 → 73
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
Outputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
y
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)

prune45.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh101
Picked011
Done000
Total73275
Error
0b
Counts
75 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 (-.f64 y 1) x) y)
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 901 to 340 computations (62.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.4%)

Counts
2 → 27
Calls

12 calls:

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

rewrite43.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
836×pow1_binary64
777×log1p-expm1-u_binary64
777×expm1-log1p-u_binary64
80×add-sqr-sqrt_binary64
77×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115415
2212015
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y -1) x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (-.f64 (*.f64 (+.f64 y -1) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (+.f64 y -1) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y -1) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y -1) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y -1) x y)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y -1) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y -1) x y)) 2) (cbrt.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y -1) x y)) (sqrt.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 y -1) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y (-.f64 y (*.f64 (+.f64 y -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 (+.f64 y -1) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y (-.f64 y (*.f64 (+.f64 y -1) x)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 y -1) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 y -1) x) y) (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 y -1) x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y (-.f64 y (*.f64 (+.f64 y -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 y -1) x) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y (*.f64 (+.f64 y -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y y)) (-.f64 (*.f64 (+.f64 y -1) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 y -1) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y (-.f64 y (*.f64 (+.f64 y -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (+.f64 y -1) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 y -1) x) 2)) (-.f64 y (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y -1) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y -1) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y -1) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y -1) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y -1) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y -1) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y -1) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y -1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y -1) x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 y -1) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 2) (cbrt.f64 (*.f64 (+.f64 y -1) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) (sqrt.f64 (*.f64 (+.f64 y -1) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (+.f64 y -1) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1))))))

simplify21.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
212×fma-neg_binary64
177×fma-def_binary64
41×sub-neg_binary64
38×distribute-rgt-in_binary64
37×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017196
142196
294174
3218174
4447174
5804174
6960174
7975174
Stop Event
1×saturated
Counts
83 → 69
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
y
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
y
(*.f64 (-.f64 y 1) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 (-.f64 y 1) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)

prune44.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done011
Total69271
Error
0b
Counts
71 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 (-.f64 y 1) x) y)
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 837 to 536 computations (36% saved)

regimes30.0ms (2.5%)

Accuracy

Total -0.0b remaining (-2008.4%)

Threshold costs -0.0b (-2008.4%)

Counts
14 → 1
Compiler

Compiled 83 to 41 computations (50.6% saved)

simplify3.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-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
058
178
2128
3148
4158
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y (-.f64 y x))
Outputs
(fma.f64 x y (-.f64 y x))

end29.0ms (2.4%)

Stop Event
1×done
Compiler

Compiled 30 to 16 computations (46.7% saved)

Profiling

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