Details

Time bar (total: 2.3s)

analyze454.0ms (19.7%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
35.9%55.4%8.7%10
42.9%47.6%9.5%11
51.5%38.4%10.1%12
55%30.3%14.7%13
59.5%25.4%15.1%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.0s (43.4%)

Symmetry

(sort x y)

Results
784.0ms8253×body128valid
58.0ms658×body128invalid
0.0msbody1024valid
0.0msbody256valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify46.0ms (2%)

Algorithm
egg-herbie
Rules
673×fma-neg_binary64
461×fma-def_binary64
143×distribute-rgt-in_binary64
135×cancel-sign-sub-inv_binary64
117×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
23210
37310
419010
542310
667610
7113610
8112410
9135910
10139410
11139410
12135110

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) (-.f64 1 z))
Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

6.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
18×prod-diff_binary64
17×add-cube-cbrt_binary64
13×distribute-lft-in_binary64
Counts
1 → 58
Calls

1 calls:

8.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

simplify84.0ms (3.7%)

Algorithm
egg-herbie
Rules
725×distribute-rgt-in_binary64
670×distribute-lft-in_binary64
623×fma-def_binary64
470×fma-neg_binary64
304×*-commutative_binary64
Counts
94 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281510
12951288
211421234
339201126
445521126
547521126

prune52.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh000
Picked011
Done000
Total88391
Error
0b
Counts
91 → 3
Alt Table
StatusErrorProgram
26.4b
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 1 z)) (-.f64 x y))
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b
(-.f64 (+.f64 y x) (+.f64 (*.f64 y z) (*.f64 z x)))
Compiler

Compiled 1728 to 754 computations (56.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.6%)

Counts
2 → 27
Calls

2 calls:

7.0ms
(-.f64 (+.f64 y x) (+.f64 (*.f64 y z) (*.f64 z x)))
6.0ms
(+.f64 (*.f64 y z) (*.f64 z x))

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
16×add-log-exp_binary64
13×add-sqr-sqrt_binary64
12×prod-diff_binary64
11×add-cube-cbrt_binary64
Counts
2 → 58
Calls

2 calls:

7.0ms
(-.f64 (+.f64 y x) (+.f64 (*.f64 y z) (*.f64 z x)))
4.0ms
(+.f64 (*.f64 y z) (*.f64 z x))

simplify92.0ms (4%)

Algorithm
egg-herbie
Rules
467×*-commutative_binary64
276×associate-+l+_binary64
267×cancel-sign-sub-inv_binary64
267×sub-neg_binary64
225×associate-+r+_binary64
Counts
85 → 99
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01311799
14091289
216901139
339841139
448711139
548181139

prune47.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh101
Picked101
Done011
Total1002102
Error
0b
Counts
102 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b
(-.f64 (+.f64 y x) (fma.f64 y z (*.f64 z x)))
Compiler

Compiled 2355 to 454 computations (80.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.7%)

Counts
2 → 72
Calls

2 calls:

9.0ms
(-.f64 (+.f64 y x) (fma.f64 y z (*.f64 z x)))
7.0ms
(fma.f64 y z (*.f64 z x))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
12×prod-diff_binary64
11×add-cube-cbrt_binary64
add-log-exp_binary64
Counts
2 → 48
Calls

2 calls:

5.0ms
(-.f64 (+.f64 y x) (fma.f64 y z (*.f64 z x)))
0.0ms
(fma.f64 y z (*.f64 z x))

simplify83.0ms (3.6%)

Algorithm
egg-herbie
Rules
755×fma-neg_binary64
447×fma-def_binary64
426×distribute-rgt-in_binary64
417×distribute-lft-in_binary64
232×times-frac_binary64
Counts
120 → 86
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0921572
11861278
26941166
329591155
443071147
550121147

prune32.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288
Error
0b
Counts
88 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b
(-.f64 (+.f64 y x) (fma.f64 y z (*.f64 z x)))
Compiler

Compiled 1611 to 326 computations (79.8% saved)

regimes145.0ms (6.3%)

Accuracy

Total 0.0b remaining (81.3%)

Threshold costs 0.0b (81.3%)

Counts
25 → 1
Compiler

Compiled 2156 to 1393 computations (35.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
21714
31914
42014
52014

end179.0ms (7.7%)

Compiler

Compiled 75 to 42 computations (44% saved)

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