Details

Time bar (total: 1.4s)

analyze91.0ms (6.4%)

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)

sample805.0ms (55.9%)

Results
759.0ms8256×body128valid
16.0ms168×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
17×fma-def_binary64
16×*-commutative_binary64
6×distribute-rgt-out_binary64
5×associate-*r*_binary64
5×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
12010
23910
35410
45610
55610

prune3.0ms (0.2%)

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)

localize5.0ms (0.3%)

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 (0.9%)

Counts
2 → 48
Calls

2 calls:

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

rewrite9.0ms (0.6%)

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 → 40
Calls

2 calls:

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

simplify69.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
584×associate-*l*_binary64
462×associate-*r*_binary64
439×distribute-rgt-out_binary64
406×distribute-lft-out_binary64
401×fma-neg_binary64
Counts
88 → 77
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070920
1201854
2639854
32432854
44768854
55023854

prune35.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh101
Picked011
Done000
Total76379
Error
0b
Counts
79 → 3
Alt Table
StatusErrorProgram
15.6b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 (+.f64 y x)))) (sqrt.f64 (*.f64 x (*.f64 2 (+.f64 y x)))))
✓0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
▶0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 1177 to 441 computations (62.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

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

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
4×associate-*r/_binary64
4×distribute-lft-in_binary64
Counts
1 → 26
Calls

1 calls:

5.0ms
(*.f64 x (*.f64 2 (+.f64 y x)))

simplify58.0ms (4%)

Algorithm
1×egg-herbie
Rules
661×associate-*l*_binary64
465×associate-*r*_binary64
393×distribute-rgt-in_binary64
390×distribute-lft-in_binary64
371×associate-*l/_binary64
Counts
50 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067658
1164541
2581541
32144541
43808541
55202541

prune19.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh101
Picked011
Done011
Total42345
Error
0b
Counts
45 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
▶22.9b
(/.f64 (*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 y x))
✓0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 573 to 289 computations (49.6% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 y y) (*.f64 x x))
✓4.8b
(*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x))))
✓17.0b
(/.f64 (*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 y x))

series34.0ms (2.4%)

Counts
3 → 72
Calls

3 calls:

14.0ms
(/.f64 (*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 y x))
13.0ms
(*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x))))
7.0ms
(-.f64 (*.f64 y y) (*.f64 x x))

rewrite23.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
17×add-cbrt-cube_binary64
17×add-exp-log_binary64
12×distribute-lft-in_binary64
12×distribute-rgt-in_binary64
10×*-un-lft-identity_binary64
Counts
3 → 84
Calls

3 calls:

9.0ms
(/.f64 (*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 y x))
6.0ms
(*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x))))
3.0ms
(-.f64 (*.f64 y y) (*.f64 x x))

simplify70.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
568×distribute-rgt-in_binary64
539×distribute-lft-in_binary64
276×fma-def_binary64
167×associate-*r*_binary64
152×associate-*l*_binary64
Counts
156 → 134
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682854
14022458
217112367
349992367

prune57.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137
Error
0b
Counts
137 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
✓22.9b
(/.f64 (*.f64 x (*.f64 2 (-.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 y x))
✓0.0b
(*.f64 x (*.f64 2 (+.f64 y x)))
Compiler

Compiled 2970 to 1009 computations (66% saved)

regimes58.0ms (4%)

Accuracy

Total 0.0b remaining (84.8%)

Threshold costs 0.0b (84.8%)

Counts
11 → 1
Compiler

Compiled 556 to 352 computations (36.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21113

end51.0ms (3.6%)

Compiler

Compiled 59 to 37 computations (37.3% saved)

Profiling

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