Details

Time bar (total: 1.2s)

analyze102.0ms (8.7%)

Algorithm
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
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample729.0ms (62.5%)

Results
679.0ms8108×body128valid
11.0ms51×body1024valid
11.0ms40×body2048valid
6.0ms37×body512valid
4.0ms54×body128invalid
3.0ms20×body256valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess21.0ms (1.8%)

Algorithm
egg-herbie
Rules
86×fma-neg_binary64
48×fma-def_binary64
26×cancel-sign-sub-inv_binary64
24×distribute-rgt-in_binary64
22×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11414
23414
36614
411014
517914
626714
736814
841614
941814
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 200 (-.f64 x y))
(*.f64 200 (-.f64 y x))
Outputs
(*.f64 200 (-.f64 x y))
(*.f64 200 (-.f64 y x))
(*.f64 (-.f64 x y) -200)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify12.0ms (1%)

Algorithm
egg-herbie
Rules
113×fma-def_binary64
83×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
19×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2207
3407
4677
5967
61677
72707
83827
94557
105397
115557
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 200 (-.f64 x y))
Outputs
(*.f64 200 (-.f64 x y))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 200 (-.f64 x y))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 200 (-.f64 x y))

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 200 (-.f64 x y))
0.0ms
x
@0
(*.f64 200 (-.f64 x y))
0.0ms
x
@-inf
(*.f64 200 (-.f64 x y))
0.0ms
y
@inf
(*.f64 200 (-.f64 x y))
0.0ms
y
@-inf
(*.f64 200 (-.f64 x y))

rewrite35.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
703×pow1_binary64
657×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
217317
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 200 (-.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 200) (*.f64 (neg.f64 y) 200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 200 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 200 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 200) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 200) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 40000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 200 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 200 (-.f64 x y))))))))

simplify22.0ms (1.9%)

Algorithm
egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09150
119150
233150
349150
477150
5123150
6213150
7311150
8391150
9503150
10557150
11563150
Stop Event
saturated
Counts
42 → 22
Calls
Call 1
Inputs
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
Outputs
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))

prune9.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh000
Picked011
Done000
Total21223
Error
0.0b
Counts
23 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (*.f64 200 x) (*.f64 200 y))
0.0b
(*.f64 200 (-.f64 x y))
Compiler

Compiled 217 to 131 computations (39.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 200 x) (*.f64 200 y))

series2.0ms (0.2%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 200 x) (*.f64 200 y))
0.0ms
y
@0
(-.f64 (*.f64 200 x) (*.f64 200 y))
0.0ms
x
@inf
(-.f64 (*.f64 200 x) (*.f64 200 y))
0.0ms
y
@inf
(-.f64 (*.f64 200 x) (*.f64 200 y))
0.0ms
x
@-inf
(-.f64 (*.f64 200 x) (*.f64 200 y))

rewrite44.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
811×log1p-expm1-u_binary64
811×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
80×*-un-lft-identity_binary64
80×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11657
222317
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(-.f64 (*.f64 200 x) (*.f64 200 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 (*.f64 y -200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (+.f64 (*.f64 y -200) (+.f64 (*.f64 y -200) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (+.f64 (*.f64 y -200) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (fma.f64 -200 y (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (fma.f64 (*.f64 y -200) 1 (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 200 y))) (cbrt.f64 (*.f64 (*.f64 y y) 40000)) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 200 y))) (sqrt.f64 (*.f64 200 y)) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (*.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 (-.f64 x y)) (+.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) (+.f64 (*.f64 y -200) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -200) (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 200 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2) (cbrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) (sqrt.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 3) 8000000) (pow.f64 (*.f64 200 y) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 200 y) (*.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 y y) 40000)) (/.f64 1 (*.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 200)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 200 x)) (sqrt.f64 (*.f64 200 y))) (-.f64 (sqrt.f64 (*.f64 200 x)) (sqrt.f64 (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 200 y) (*.f64 200 (+.f64 x y)))) (-.f64 (*.f64 (pow.f64 x 3) 8000000) (pow.f64 (*.f64 200 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 200 (+.f64 x y)) (-.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 y y) 40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) 8000000) (pow.f64 (*.f64 200 y) 3)) (+.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 200 y) (*.f64 200 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 y y) 40000)) (*.f64 200 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 8000000) (pow.f64 (*.f64 200 y) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 200 y) (*.f64 200 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 y y) 40000))) (neg.f64 (*.f64 200 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8000000) (pow.f64 (*.f64 y -200) 3)) (+.f64 (*.f64 (*.f64 x x) 40000) (-.f64 (*.f64 (*.f64 y -200) (*.f64 y -200)) (*.f64 (*.f64 200 x) (*.f64 y -200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3) (pow.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) 3)) (+.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 2) (-.f64 (*.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) (+.f64 (*.f64 y -200) (*.f64 200 y))) (*.f64 (*.f64 200 (-.f64 x y)) (+.f64 (*.f64 y -200) (*.f64 200 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 40000) (*.f64 (*.f64 y -200) (*.f64 y -200))) (-.f64 (*.f64 200 x) (*.f64 y -200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 2) (*.f64 (+.f64 (*.f64 y -200) (*.f64 200 y)) (+.f64 (*.f64 y -200) (*.f64 200 y)))) (-.f64 (*.f64 200 (-.f64 x y)) (+.f64 (*.f64 y -200) (*.f64 200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 200 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 200 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 200 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 200 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 200 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 x (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 200 (-.f64 x y) (+.f64 (*.f64 y -200) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 200 (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 200 x) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 200 (-.f64 x y)) (+.f64 (*.f64 y -200) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2) (cbrt.f64 (*.f64 200 (-.f64 x y))) (+.f64 (*.f64 y -200) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 200 x)) 2) (cbrt.f64 (*.f64 200 x)) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) (sqrt.f64 (*.f64 200 (-.f64 x y))) (+.f64 (*.f64 y -200) (*.f64 200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 200 x)) (sqrt.f64 (*.f64 200 x)) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 200 (-.f64 x y))))))))

simplify9.0ms (0.8%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
Stop Event
saturated
Counts
59 → 55
Calls
Call 1
Inputs
(*.f64 -200 y)
(*.f64 200 x)
(*.f64 200 x)
(*.f64 200 x)
(*.f64 -200 y)
(*.f64 -200 y)
Outputs
(*.f64 -200 y)
(*.f64 200 x)
(*.f64 200 x)
(*.f64 200 x)
(*.f64 -200 y)
(*.f64 -200 y)

prune29.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh000
Picked101
Done011
Total55257
Error
0.0b
Counts
57 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 200 (-.f64 x y))
0.0b
(fma.f64 200 x (*.f64 y -200))
Compiler

Compiled 825 to 540 computations (34.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 200 x (*.f64 y -200))

series2.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 200 x (*.f64 y -200))
0.0ms
x
@0
(fma.f64 200 x (*.f64 y -200))
0.0ms
y
@-inf
(fma.f64 200 x (*.f64 y -200))
0.0ms
y
@inf
(fma.f64 200 x (*.f64 y -200))
0.0ms
y
@0
(fma.f64 200 x (*.f64 y -200))

rewrite31.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
606×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11408
215138
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 200 x (*.f64 y -200))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -200) (*.f64 200 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 200 x) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 200 x) 1) (*.f64 y -200))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 200 x (*.f64 y -200)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 200 x (*.f64 y -200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 200 x (*.f64 y -200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 200 x (*.f64 y -200))) (pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 y -200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 y -200))) 2) (cbrt.f64 (fma.f64 200 x (*.f64 y -200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 200 x (*.f64 y -200))) (sqrt.f64 (fma.f64 200 x (*.f64 y -200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 200 x) 3) (pow.f64 (*.f64 y -200) 3)) (+.f64 (*.f64 (*.f64 200 x) (*.f64 200 x)) (-.f64 (*.f64 40000 (*.f64 y y)) (*.f64 (*.f64 200 x) (*.f64 y -200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 200 x) (*.f64 200 x)) (*.f64 40000 (*.f64 y y))) (-.f64 (*.f64 200 x) (*.f64 y -200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 200 x (*.f64 y -200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 200 x (*.f64 y -200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 200 x (*.f64 y -200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 200 x (*.f64 y -200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 200 x (*.f64 y -200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 200 x (*.f64 y -200))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 200 x (*.f64 y -200)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 200 x (*.f64 y -200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 200 x (*.f64 y -200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 200 x (*.f64 y -200))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 200 x (*.f64 y -200))))))))

simplify19.0ms (1.7%)

Algorithm
egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09150
119150
233150
349150
477150
5123150
6213150
7311150
8391150
9503150
10557150
11563150
Stop Event
saturated
Counts
46 → 26
Calls
Call 1
Inputs
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(-.f64 (*.f64 200 x) (*.f64 200 y))
Outputs
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 200 x)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(*.f64 -200 y)
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))
(-.f64 (*.f64 200 x) (*.f64 200 y))
(*.f64 200 (-.f64 x y))
(*.f64 -200 (-.f64 y x))

prune10.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done011
Total26228
Error
0.0b
Counts
28 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 200 (-.f64 x y))
0.0b
(fma.f64 200 x (*.f64 y -200))
Compiler

Compiled 283 to 212 computations (25.1% saved)

regimes27.0ms (2.3%)

Accuracy

Total 0.0b remaining (30.8%)

Threshold costs 0.0b (30.8%)

Counts
8 → 1
Compiler

Compiled 99 to 61 computations (38.4% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 200 x (*.f64 y -200))
Outputs
(fma.f64 200 x (*.f64 y -200))

end46.0ms (4%)

Stop Event
done
Compiler

Compiled 31 to 23 computations (25.8% saved)

Profiling

Loading profile data...