Details

Time bar (total: 1.2s)

analyze81.0ms (6.8%)

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
50%50%0.1%6
56.2%40.6%3.2%7
68.7%25%6.3%8
71.8%19.5%8.7%9
78%12.5%9.5%10
79.6%9.6%10.8%11
82.7%6.2%11%12
83.5%4.7%11.8%13
85.1%3.1%11.8%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample785.0ms (65.3%)

Results
757.0ms8256×body128valid
5.0ms65×body128invalid
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess56.0ms (4.7%)

Algorithm
2×egg-herbie
Rules
215×fma-def_binary64
140×fma-neg_binary64
51×cancel-sign-sub-inv_binary64
26×distribute-rgt-in_binary64
26×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11514
22514
34614
47314
511414
625114
748814
872814
977114
1077514
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 y x) y)
Outputs
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 y x) y)
(-.f64 (*.f64 x y) y)
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify22.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
123×fma-def_binary64
78×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
16×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2157
3267
4447
5727
61557
72987
84427
94767
104787
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 x y) x)
Outputs
(-.f64 (*.f64 x y) x)

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 (*.f64 x y) x)
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite34.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
60×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215677
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 (*.f64 x y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2)) (cbrt.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x y) x)))))))

simplify23.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
74×fma-def_binary64
56×fma-neg_binary64
18×distribute-rgt-in_binary64
15×associate-*r*_binary64
13×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013158
130158
256158
3110158
4219158
5334158
6392158
7396158
Stop Event
1×saturated
Counts
63 → 46
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 -1 x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (+.f64 y -1) x)

prune23.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done000
Total45247
Error
0b
Counts
47 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (-.f64 y 1) x)
✓0.0b
(-.f64 (*.f64 x y) x)
Compiler

Compiled 518 to 193 computations (62.7% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.3%)

Counts
1 → 12
Calls

6 calls:

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

rewrite32.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
599×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
63×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215417
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
Outputs
((#(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 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 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)))))))

simplify17.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
123×fma-def_binary64
78×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
16×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0774
11274
21874
32874
44374
57174
615474
729774
844174
947574
1047774
Stop Event
1×saturated
Counts
32 → 26
Calls
Call 1
Inputs
(*.f64 -1 x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y x) x)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))

prune10.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done011
Total26228
Error
0b
Counts
28 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (-.f64 y 1) x)
✓0.0b
(-.f64 (*.f64 x y) x)
Compiler

Compiled 213 to 142 computations (33.3% saved)

regimes22.0ms (1.8%)

Accuracy

Total 0.0b remaining (94.2%)

Threshold costs 0.0b (94.2%)

Counts
6 → 1
Compiler

Compiled 36 to 19 computations (47.2% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2137
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)

end82.0ms (6.9%)

Stop Event
1×done
Compiler

Compiled 28 to 19 computations (32.1% saved)

Profiling

Loading profile data...