Details

Time bar (total: 1.3s)

analyze133.0ms (10.2%)

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%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample17.0ms (1.3%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify28.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
388×fma-def_binary64
286×fma-neg_binary64
71×distribute-rgt-in_binary64
70×associate-*l*_binary64
69×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11810
24010
38810
415410
521710
638610
751110
865710
972710
1077710
1172410

prune4.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (*.f64 x (-.f64 x y)))
0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 x y))
✓0.0b
(*.f64 2 (*.f64 x (-.f64 x y)))

series20.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 x (-.f64 x y))
8.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))

rewrite24.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
65×distribute-lft-in_binary64
65×distribute-rgt-in_binary64
54×prod-diff_binary64
51×add-sqr-sqrt_binary64
49×*-un-lft-identity_binary64
Counts
2 → 124
Calls

2 calls:

7.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))
5.0ms
(*.f64 x (-.f64 x y))

simplify141.0ms (10.8%)

Algorithm
1×egg-herbie
Rules
420×*-commutative_binary64
359×fma-neg_binary64
354×exp-prod_binary64
320×distribute-lft-neg-out_binary64
318×distribute-rgt-neg-out_binary64
Counts
172 → 154
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02092679
12892202
29761878
325631715
445571715
549981715
647131715

prune76.0ms (5.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1531154
Fresh011
Picked101
Done000
Total1542156
Error
0b
Counts
156 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
▶0.0b
(*.f64 x (*.f64 2 (-.f64 x y)))
Compiler

Compiled 3029 to 1052 computations (65.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (*.f64 2 (-.f64 x y)))

series8.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 x (*.f64 2 (-.f64 x y)))

rewrite17.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
52×distribute-lft-in_binary64
52×distribute-rgt-in_binary64
36×prod-diff_binary64
30×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64
Counts
1 → 74
Calls

1 calls:

7.0ms
(*.f64 x (*.f64 2 (-.f64 x y)))

simplify84.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
510×fma-neg_binary64
381×*-commutative_binary64
334×exp-prod_binary64
295×distribute-lft-neg-out_binary64
290×distribute-rgt-neg-out_binary64
Counts
98 → 84
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01911726
12601429
27901213
321921105
445661105
548911105

prune41.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done000
Total84286
Error
0b
Counts
86 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
✓0.0b
(*.f64 x (*.f64 2 (-.f64 x y)))
Compiler

Compiled 1827 to 726 computations (60.3% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
✓0.0b
(-.f64 (*.f64 x x) (*.f64 x y))

series14.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
6.0ms
(-.f64 (*.f64 x x) (*.f64 x y))

rewrite14.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×associate-*r*_binary64
4×*-un-lft-identity_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
Counts
2 → 46
Calls

2 calls:

5.0ms
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
3.0ms
(-.f64 (*.f64 x x) (*.f64 x y))

simplify76.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
522×fma-neg_binary64
500×associate-*l*_binary64
430×associate-*r*_binary64
208×fma-def_binary64
177×distribute-rgt-neg-out_binary64
Counts
94 → 87
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0871026
1193954
2582936
32421936
44654936
54890936

prune54.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done011
Total87289
Error
0b
Counts
89 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
✓0.0b
(*.f64 x (*.f64 2 (-.f64 x y)))
Compiler

Compiled 1261 to 459 computations (63.6% saved)

regimes38.0ms (2.9%)

Accuracy

Total 0.0b remaining (90%)

Threshold costs 0.0b (90%)

Counts
8 → 1
Compiler

Compiled 312 to 216 computations (30.8% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
31810
41910
51910

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample496.0ms (38.2%)

Algorithm
1×intervals
Results
259.0ms8000×body128valid
4.0ms150×body128invalid
Compiler

Compiled 43 to 29 computations (32.6% saved)

Profiling

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