Details

Time bar (total: 1.5s)

analyze132.0ms (8.6%)

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
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 12 to 9 computations (25% saved)

sample1.1s (72.6%)

Results
628.0ms6163×body128valid
203.0ms756×body1024valid
170.0ms809×body512valid
84.0ms519×body256valid
11.0ms125×body128invalid
3.0msbody2048valid

preprocess31.0ms (2%)

Algorithm
egg-herbie
Rules
1016×fma-def_binary64
368×fma-neg_binary64
337×unsub-neg_binary64
317×associate--l+_binary64
241×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
11922
24222
313222
451216
5222116
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify45.0ms (2.9%)

Algorithm
egg-herbie
Rules
736×fma-def_binary64
523×unsub-neg_binary64
291×distribute-neg-in_binary64
256×sub-neg_binary64
254×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11611
23711
311311
44098
516868
640868
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)

prune13.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (fma.f64 x y 1) y)
18.5b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 55 to 37 computations (32.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x y 1) y)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite41.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
672×pow1_binary64
624×add-log-exp_binary64
624×log1p-expm1-u_binary64
624×expm1-log1p-u_binary64
65×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11248
216328
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) (sqrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))) (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 x y 1)) (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x y 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (cbrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y 1) y)))))))

simplify39.0ms (2.6%)

Algorithm
egg-herbie
Rules
185×fma-def_binary64
162×fma-neg_binary64
31×sub-neg_binary64
25×unsub-neg_binary64
22×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017207
145171
2107171
3227171
4461171
5661171
6766171
7784171
Stop Event
saturated
Counts
62 → 48
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(fma.f64 y x (-.f64 1 y))

prune47.0ms (3.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh101
Picked101
Done000
Total49150
Error
0b
Counts
50 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 y x (-.f64 1 y))
Compiler

Compiled 605 to 365 computations (39.7% saved)

localize4.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(fma.f64 y x (-.f64 1 y))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes28.0ms (1.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
8 → 1
Compiler

Compiled 78 to 50 computations (35.9% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
2148
3168
4178
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 1 y))
Outputs
(fma.f64 y x (-.f64 1 y))

end29.0ms (1.9%)

Stop Event
done
Compiler

Compiled 22 to 13 computations (40.9% saved)

Profiling

Loading profile data...