Details

Time bar (total: 1.8s)

analyze5.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample664.0ms (37.6%)

Results
637.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1158
2218
3248
4268
5278
6248

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(/.f64 (fma.f64 x x -3) 6)
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (fma.f64 x x -3) 6)

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 (fma.f64 x x -3) 6)

rewrite3.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 (fma.f64 x x -3) 6)

simplify51.0ms (2.9%)

Algorithm
egg-herbie
Rules
822×distribute-rgt-in_binary64
507×associate-/l*_binary64
396×associate-/l/_binary64
383×fma-def_binary64
343×times-frac_binary64
Counts
41 → 39
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064533
1103499
2216499
3434499
41114499
53350499
64886499

prune68.0ms (3.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New35439
Fresh000
Picked101
Done000
Total36440
Error
0.0b
Counts
40 → 4
Alt Table
StatusErrorProgram
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)
40.8b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
0.1b
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
40.8b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
Compiler

Compiled 556 to 413 computations (25.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 6 (fma.f64 x x -3))
0.1b
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))

series7.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

5.0ms
(/.f64 6 (fma.f64 x x -3))
3.0ms
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))

rewrite15.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 107
Calls

2 calls:

4.0ms
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
2.0ms
(/.f64 6 (fma.f64 x x -3))

simplify115.0ms (6.5%)

Algorithm
egg-herbie
Rules
789×fma-neg_binary64
527×times-frac_binary64
512×fma-def_binary64
344×distribute-rgt-in_binary64
315×distribute-lft-in_binary64
Counts
131 → 162
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01472190
12842011
27131987
317611987
442101985
548961985
648771985

prune151.0ms (8.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh033
Picked011
Done000
Total1615166
Error
0b
Counts
166 → 5
Alt Table
StatusErrorProgram
1.0b
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)
40.8b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
0.1b
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
40.8b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
Compiler

Compiled 2778 to 2212 computations (20.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 1/6 (*.f64 x x) -1/2)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 1/6 (*.f64 x x) -1/2)

simplify50.0ms (2.8%)

Algorithm
egg-herbie
Rules
540×fma-def_binary64
474×unswap-sqr_binary64
438×*-commutative_binary64
374×distribute-rgt-in_binary64
370×distribute-lft-in_binary64
Counts
22 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021214
130197
259197
3156197
4622197
52186197
62781197
75148197

prune11.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh033
Picked011
Done011
Total16521
Error
0b
Counts
21 → 5
Alt Table
StatusErrorProgram
1.0b
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)
40.8b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
0.1b
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
40.8b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
Compiler

Compiled 246 to 167 computations (32.1% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
0.8b
(*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3)))
0.8b
(/.f64 (sqrt.f64 6) (fma.f64 x x -3))

series40.0ms (2.2%)

Counts
3 → 36
Calls

3 calls:

24.0ms
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
10.0ms
(*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3)))
6.0ms
(/.f64 (sqrt.f64 6) (fma.f64 x x -3))

rewrite28.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
43×times-frac_binary64
35×*-un-lft-identity_binary64
35×add-cube-cbrt_binary64
31×add-exp-log_binary64
Counts
3 → 126
Calls

3 calls:

10.0ms
(*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3)))
6.0ms
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
3.0ms
(/.f64 (sqrt.f64 6) (fma.f64 x x -3))

simplify173.0ms (9.8%)

Algorithm
egg-herbie
Rules
492×times-frac_binary64
442×associate-/l*_binary64
408×fma-def_binary64
383×fma-neg_binary64
277×associate-*l/_binary64
Counts
162 → 193
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02092769
14862523
215292477
342502441
446902441
548382441

prune115.0ms (6.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1921193
Fresh112
Picked011
Done022
Total1935198
Error
0b
Counts
198 → 5
Alt Table
StatusErrorProgram
1.0b
(/.f64 1 (*.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 6) (fma.f64 x x -3))))
0.1b
(fma.f64 (/.f64 x 6) x -1/2)
0.1b
(fma.f64 1/6 (*.f64 x x) -1/2)
40.8b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
0.1b
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
Compiler

Compiled 3733 to 3142 computations (15.8% saved)

regimes167.0ms (9.4%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Counts
41 → 1
Compiler

Compiled 2053 to 1619 computations (21.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end67.0ms (3.8%)

Compiler

Compiled 64 to 48 computations (25% saved)

Profiling

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