Details

Time bar (total: 1.7s)

analyze270.0ms (15.7%)

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
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.1%0.1%7
37.4%62.4%0.1%8
46.8%46.8%6.4%9
54.6%39%6.4%10
62.8%30.8%6.4%11
66.9%23.6%9.5%12
71.7%18.8%9.5%13
75.3%15.2%9.5%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample69.0ms (4%)

Algorithm
1×intervals
Symmetry

(sort x y)

Results
8.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 24 to 18 computations (25% saved)

simplify19.0ms (1.1%)

Algorithm
1×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 (0.1%)

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 (0.3%)

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)

series12.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

7.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
5.0ms
(*.f64 (*.f64 x 3) y)

rewrite11.0ms (0.6%)

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

2 calls:

5.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify76.0ms (4.4%)

Algorithm
1×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

prune38.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Error
0.0b
Counts
64 → 4
Alt Table
StatusErrorProgram
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
16.5b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) z)
0.2b
(-.f64 (*.f64 x (*.f64 3 y)) z)
▶0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 902 to 523 computations (42% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 3 (*.f64 y x)) z)
✓0.3b
(*.f64 3 (*.f64 y x))

series11.0ms (0.6%)

Counts
2 → 9
Calls

2 calls:

7.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
5.0ms
(*.f64 3 (*.f64 y x))

rewrite10.0ms (0.6%)

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

2 calls:

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

simplify80.0ms (4.6%)

Algorithm
1×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

prune35.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh022
Picked011
Done011
Total46551
Error
0b
Counts
51 → 5
Alt Table
StatusErrorProgram
0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
16.5b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) z)
▶0.2b
(-.f64 (*.f64 x (*.f64 3 y)) z)
✓0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 734 to 401 computations (45.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
✓0.3b
(*.f64 x (*.f64 3 y))

series23.0ms (1.3%)

Counts
2 → 60
Calls

2 calls:

19.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
4.0ms
(*.f64 x (*.f64 3 y))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
5×*-un-lft-identity_binary64
5×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))

simplify79.0ms (4.6%)

Algorithm
1×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

prune40.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh022
Picked011
Done022
Total63568
Error
0b
Counts
68 → 5
Alt Table
StatusErrorProgram
▶0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
16.5b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) z)
✓0.2b
(-.f64 (*.f64 x (*.f64 3 y)) z)
✓0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 910 to 529 computations (41.9% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
✓0.3b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x)))
✓0.4b
(*.f64 (sqrt.f64 3) (*.f64 y x))

series60.0ms (3.5%)

Counts
3 → 84
Calls

3 calls:

25.0ms
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
23.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x)))
10.0ms
(*.f64 (sqrt.f64 3) (*.f64 y x))

rewrite22.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
17×add-cbrt-cube_binary64
17×add-exp-log_binary64
17×pow1_binary64
12×associate-*l*_binary64
9×*-un-lft-identity_binary64
Counts
3 → 69
Calls

3 calls:

8.0ms
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
7.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x)))
5.0ms
(*.f64 (sqrt.f64 3) (*.f64 y x))

simplify99.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
785×fma-def_binary64
518×fma-neg_binary64
386×*-commutative_binary64
240×times-frac_binary64
223×sqr-pow_binary64
Counts
153 → 105
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151528
12611455
29111443
317871435
438111435
548431435
648831435

prune72.0ms (4.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done033
Total1055110
Error
0b
Counts
110 → 5
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
16.5b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) z)
✓0.2b
(-.f64 (*.f64 x (*.f64 3 y)) z)
✓0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 1803 to 1222 computations (32.2% saved)

regimes107.0ms (6.2%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Counts
15 → 1
Compiler

Compiled 1524 to 1099 computations (27.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
21510
31610
41610

end6.0ms (0.3%)

Remove

(sort x y)

Compiler

Compiled 30 to 21 computations (30% saved)

sample547.0ms (31.8%)

Algorithm
1×intervals
Results
251.0ms8000×body128valid
9.0ms323×body128invalid
Compiler

Compiled 82 to 59 computations (28% saved)

Profiling

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