Details

Time bar (total: 1.3s)

analyze5.0ms (0.4%)

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)

sample27.0ms (2.1%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify8.0ms (0.6%)

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 (0.3%)

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 (0.3%)

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)

simplify54.0ms (4.2%)

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

prune29.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340
Error
0b
Counts
40 → 3
Alt Table
StatusErrorProgram
42.5b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
42.5b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
0.1b
(/.f64 (fma.f64 x x -3) 6)
Compiler

Compiled 531 to 394 computations (25.8% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 6 (sqrt.f64 (fma.f64 x x -3)))
0.1b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

series10.0ms (0.8%)

Counts
2 → 24
Calls

2 calls:

6.0ms
(/.f64 6 (sqrt.f64 (fma.f64 x x -3)))
4.0ms
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))

rewrite37.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
276×times-frac_binary64
154×*-un-lft-identity_binary64
154×add-sqr-sqrt_binary64
154×add-cube-cbrt_binary64
144×sqrt-prod_binary64
Counts
2 → 218
Calls

2 calls:

8.0ms
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
4.0ms
(/.f64 6 (sqrt.f64 (fma.f64 x x -3)))

simplify196.0ms (15.5%)

Algorithm
egg-herbie
Rules
692×associate-/r/_binary64
472×associate-/r*_binary64
427×associate-*l*_binary64
349×associate-*r*_binary64
300×fma-neg_binary64
Counts
242 → 282
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02868253
16217262
219836781
346846781
449376781

prune200.0ms (15.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2820282
Fresh011
Picked011
Done011
Total2823285
Error
0b
Counts
285 → 3
Alt Table
StatusErrorProgram
42.5b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
42.5b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
0.1b
(/.f64 (fma.f64 x x -3) 6)
Compiler

Compiled 7555 to 5733 computations (24.1% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

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

rewrite14.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
22×associate-*r*_binary64
22×times-frac_binary64
17×sqrt-prod_binary64
16×*-un-lft-identity_binary64
Counts
1 → 50
Calls

1 calls:

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

simplify91.0ms (7.2%)

Algorithm
egg-herbie
Rules
643×unswap-sqr_binary64
401×fma-def_binary64
363×associate-/r/_binary64
314×associate-/r*_binary64
289×distribute-rgt-in_binary64
Counts
62 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0871163
1187982
2575934
31466934
42911934
54115934
64958934
74928934

prune43.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done022
Total73376
Error
0b
Counts
76 → 3
Alt Table
StatusErrorProgram
42.5b
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
42.5b
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6))
0.1b
(/.f64 (fma.f64 x x -3) 6)
Compiler

Compiled 1525 to 1136 computations (25.5% saved)

regimes94.0ms (7.5%)

Accuracy

Total 0.1b remaining (60.2%)

Threshold costs 0.1b (60.2%)

Counts
30 → 1
Compiler

Compiled 1472 to 1106 computations (24.9% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21110
31010

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample429.0ms (33.9%)

Algorithm
intervals
Results
222.0ms8000×body128valid
Compiler

Compiled 53 to 39 computations (26.4% saved)

Profiling

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