Details

Time bar (total: 1.8s)

analyze90.0ms (4.9%)

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
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 18 to 8 computations (55.6% saved)

sample34.0ms (1.8%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify10.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
28×fma-def_binary64
4×*-commutative_binary64
4×associate-+l+_binary64
4×associate-*r*_binary64
3×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0820
11515
23011
34911
46311
56711
66511

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
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
▶0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
Compiler

Compiled 79 to 36 computations (54.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))

series8.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(fma.f64 y (*.f64 y 3) (*.f64 x x))

rewrite1.0ms (0%)

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

1 calls:

0.0ms
(fma.f64 y (*.f64 y 3) (*.f64 x x))

simplify70.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
911×fma-def_binary64
466×distribute-rgt-in_binary64
460×distribute-lft-in_binary64
356×unswap-sqr_binary64
323×*-commutative_binary64
Counts
34 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022394
135371
266371
3184371
4793371
53022371
64320371
75097371

prune20.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh101
Picked011
Done000
Total21526
Error
0.0b
Counts
26 → 5
Alt Table
StatusErrorProgram
0.2b
(*.f64 (sqrt.f64 (fma.f64 x x (*.f64 3 (*.f64 y y)))) (sqrt.f64 (fma.f64 x x (*.f64 3 (*.f64 y y)))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 3 (*.f64 y y)))) (cbrt.f64 (fma.f64 x x (*.f64 3 (*.f64 y y))))) (cbrt.f64 (fma.f64 x x (*.f64 3 (*.f64 y y)))))
41.2b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x)) (fma.f64 y (*.f64 y 3) (*.f64 x x))) (fma.f64 y (*.f64 y 3) (*.f64 x x))))
▶0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
Compiler

Compiled 479 to 249 computations (48% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
✓0.2b
(*.f64 3 (*.f64 y y))

series11.0ms (0.6%)

Counts
2 → 36
Calls

2 calls:

8.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))
3.0ms
(*.f64 3 (*.f64 y y))

rewrite8.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
4×add-sqr-sqrt_binary64
3×associate-*l*_binary64
Counts
2 → 31
Calls

2 calls:

6.0ms
(*.f64 3 (*.f64 y y))
0.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))

simplify68.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
719×associate-/l/_binary64
648×distribute-rgt-in_binary64
638×distribute-lft-in_binary64
461×fma-def_binary64
358×*-commutative_binary64
Counts
67 → 45
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053697
195638
2217629
3554629
41003629
52324629
63738629
75212629

prune32.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42345
Fresh303
Picked011
Done011
Total45550
Error
0b
Counts
50 → 5
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
20.1b
(fma.f64 x x (cbrt.f64 (*.f64 27 (pow.f64 y 6))))
▶0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
0.6b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
Compiler

Compiled 692 to 365 computations (47.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
✓0.2b
(*.f64 (sqrt.f64 3) (*.f64 y y))
✓0.3b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y)))

series30.0ms (1.6%)

Counts
3 → 48
Calls

3 calls:

18.0ms
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
8.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y)))
4.0ms
(*.f64 (sqrt.f64 3) (*.f64 y y))

rewrite17.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
17×add-cbrt-cube_binary64
17×add-exp-log_binary64
17×pow1_binary64
12×associate-*l*_binary64
9×add-sqr-sqrt_binary64
Counts
3 → 61
Calls

3 calls:

8.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y)))
6.0ms
(*.f64 (sqrt.f64 3) (*.f64 y y))
0.0ms
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))

simplify70.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
614×associate-*l*_binary64
427×associate-*r*_binary64
417×associate-+l+_binary64
400×distribute-rgt-in_binary64
394×distribute-lft-in_binary64
Counts
109 → 93
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0761221
11551102
24351079
312931059
426131044
551071044

prune73.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598
Error
0b
Counts
98 → 5
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
20.1b
(fma.f64 x x (cbrt.f64 (*.f64 27 (pow.f64 y 6))))
✓0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
▶0.6b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
Compiler

Compiled 1650 to 1050 computations (36.4% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (*.f64 y y))
✓0.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
✓0.4b
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
✓20.9b
(cbrt.f64 (*.f64 3 (*.f64 y y)))

series94.0ms (5.1%)

Counts
3 → 36
Calls

3 calls:

42.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
38.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
13.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y))))

rewrite21.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
6.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
3.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))

simplify118.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
874×fma-def_binary64
340×associate-/l*_binary64
315×*-commutative_binary64
310×associate-*l/_binary64
303×sqr-pow_binary64
Counts
115 → 114
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0761480
11371377
24241257
37321187
414391063
521361063
643271063
749991063
849181063

prune222.0ms (12.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2260226
Fresh011
Picked011
Done033
Total2265231
Error
0b
Counts
231 → 5
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
20.1b
(fma.f64 x x (cbrt.f64 (*.f64 27 (pow.f64 y 6))))
✓0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
✓0.6b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
Compiler

Compiled 5982 to 3381 computations (43.5% saved)

regimes214.0ms (11.6%)

Accuracy

Total 0.1b remaining (84.2%)

Threshold costs 0.1b (84.2%)

Counts
35 → 1
Compiler

Compiled 3574 to 2351 computations (34.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

sample595.0ms (32.4%)

Algorithm
1×intervals
Results
298.0ms8000×body128valid
0.0ms3×body128invalid
Compiler

Compiled 100 to 61 computations (39% saved)

Profiling

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