Details

Time bar (total: 1.1s)

analyze123.0ms (11.2%)

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%48.4%1.7%7
59.3%38.2%2.4%8
67.1%27.7%5.2%9
72.6%21.3%6.1%10
76.9%14.7%8.4%11
79.8%11.2%9%12
82%7.6%10.4%13
83.6%5.7%10.7%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample708.0ms (64.5%)

Results
676.0ms8256×body128valid
15.0ms170×body128invalid
Compiler

Compiled 20 to 12 computations (40% saved)

preprocess26.0ms (2.4%)

Algorithm
2×egg-herbie
Rules
247×fma-neg_binary64
165×fma-def_binary64
59×cancel-sign-sub-inv_binary64
36×associate--r+_binary64
35×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
12720
24620
38218
415216
528316
652916
778116
892316
994316
1094416
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 y (-.f64 1 x) x)
Symmetry

(sort x y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify17.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
249×fma-neg_binary64
175×fma-def_binary64
55×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
36×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0610
11510
23510
3699
41368
52658
65068
77618
89378
99668
109678
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 x (-.f64 1 y) y)

prune3.0ms (0.2%)

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

Compiled 49 to 28 computations (42.9% saved)

localize16.0ms (1.5%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite32.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
632×pow1_binary64
586×add-log-exp_binary64
586×log1p-expm1-u_binary64
586×expm1-log1p-u_binary64
63×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11238
215228
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 x (-.f64 1 y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) (sqrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y)))))))

simplify22.0ms (2%)

Algorithm
1×egg-herbie
Rules
195×fma-def_binary64
172×fma-neg_binary64
47×distribute-rgt-in_binary64
32×associate--r+_binary64
31×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018210
147210
2108210
3203174
4421174
5762174
6890174
7899174
Stop Event
1×saturated
Counts
46 → 32
Calls
Call 1
Inputs
y
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
x
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(*.f64 (-.f64 1 x) y)
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
Outputs
y
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
x
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 x) y)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (+.f64 y x))
(fma.f64 y (-.f64 1 x) x)

prune28.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New31132
Fresh101
Picked101
Done000
Total33134
Error
0b
Counts
34 → 1
Alt Table
StatusErrorProgram
▶0b
(fma.f64 y (-.f64 1 x) x)
Compiler

Compiled 319 to 198 computations (37.9% saved)

localize4.0ms (0.3%)

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 (-.f64 1 x) x)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes70.0ms (6.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
9 → 1
Compiler

Compiled 58 to 30 computations (48.3% saved)

simplify2.0ms (0.2%)

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

end42.0ms (3.8%)

Stop Event
1×done
Compiler

Compiled 40 to 25 computations (37.5% saved)

Profiling

Loading profile data...