Details

Time bar (total: 1.2s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample615.0ms (51.7%)

Infinites
12.5% of outputs are infinite.
Symmetry

(sort x y)

Results
534.0ms8256×body128valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify23.0ms (2%)

Algorithm
egg-herbie
Rules
192×fma-def_binary64
125×fma-neg_binary64
44×distribute-rgt-neg-in_binary64
36×cancel-sign-sub-inv_binary64
27×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22810
33810
47010
510910
619310
731110
836310
942010
1042410
1142610
1238110

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 30 to 21 computations (30% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.2b
(*.f64 (*.f64 x 3) y)

series11.0ms (0.9%)

Counts
2 → 60
Calls

2 calls:

6.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
(*.f64 (*.f64 x 3) y)

rewrite10.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify90.0ms (7.6%)

Algorithm
egg-herbie
Rules
730×fma-def_binary64
637×fma-neg_binary64
284×*-commutative_binary64
255×unswap-sqr_binary64
206×cancel-sign-sub-inv_binary64
Counts
100 → 63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092949
1197920
2673908
31389908
42926908
54712908
64917908

prune35.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New61263
Fresh000
Picked011
Done000
Total61364
Error
0b
Counts
64 → 3
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 874 to 505 computations (42.2% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(*.f64 x (*.f64 3 y))

series16.0ms (1.3%)

Counts
2 → 60
Calls

2 calls:

11.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
4.0ms
(*.f64 x (*.f64 3 y))

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
4.0ms
(*.f64 x (*.f64 3 y))

simplify80.0ms (6.7%)

Algorithm
egg-herbie
Rules
731×fma-def_binary64
648×fma-neg_binary64
275×*-commutative_binary64
217×unswap-sqr_binary64
215×times-frac_binary64
Counts
100 → 63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090947
1188918
2650906
31354906
42928906
54688906
64904906

prune36.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done011
Total63366
Error
0b
Counts
66 → 3
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 864 to 496 computations (42.6% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.2b
(*.f64 3 (*.f64 y x))

series11.0ms (0.9%)

Counts
2 → 9
Calls

2 calls:

6.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
4.0ms
(*.f64 3 (*.f64 y x))

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
3.0ms
(*.f64 3 (*.f64 y x))

simplify89.0ms (7.5%)

Algorithm
egg-herbie
Rules
662×fma-def_binary64
659×fma-neg_binary64
391×distribute-rgt-neg-in_binary64
242×*-commutative_binary64
211×unswap-sqr_binary64
Counts
49 → 47
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087509
1181480
2599468
31237468
42715468
54443468
64992468
74832468

prune29.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done022
Total47350
Error
0b
Counts
50 → 3
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 668 to 354 computations (47% saved)

regimes57.0ms (4.8%)

Accuracy

Total 0.1b remaining (87.1%)

Threshold costs 0.1b (87.1%)

Counts
8 → 1
Compiler

Compiled 642 to 462 computations (28% saved)

simplify3.0ms (0.3%)

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
0810
11210
21710
31910
42010
52010

end48.0ms (4.1%)

Remove

(sort x y)

Compiler

Compiled 70 to 49 computations (30% saved)

Profiling

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