Details

Time bar (total: 1.4s)

analyze88.0ms (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
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 (2.4%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify8.0ms (0.6%)

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

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
0.1b
(+.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 (0.4%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

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

rewrite1.0ms (0.1%)

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))

simplify64.0ms (4.6%)

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

prune19.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh101
Picked011
Done000
Total22426
Error
0.0b
Counts
26 → 4
Alt Table
StatusErrorProgram
35.8b
(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 y (*.f64 y 3) (*.f64 x x))
▶0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
0.3b
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x))) (sqrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x))))
Compiler

Compiled 417 to 215 computations (48.4% saved)

localize5.0ms (0.4%)

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))

series13.0ms (1%)

Counts
2 → 36
Calls

2 calls:

10.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))
3.0ms
(*.f64 3 (*.f64 y y))

rewrite8.0ms (0.6%)

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 (4.9%)

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

prune35.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh202
Picked101
Done011
Total45449
Error
0.0b
Counts
49 → 4
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
0.2b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))
0.3b
(fma.f64 x x (*.f64 (*.f64 (sqrt.f64 3) y) (*.f64 (sqrt.f64 3) y)))
Compiler

Compiled 664 to 351 computations (47.1% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

12.0ms
(fma.f64 3 (*.f64 y y) (*.f64 x x))

rewrite1.0ms (0.1%)

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 3 (*.f64 y y) (*.f64 x x))

simplify79.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
912×fma-def_binary64
466×distribute-rgt-in_binary64
460×distribute-lft-in_binary64
356×unswap-sqr_binary64
324×*-commutative_binary64
Counts
34 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022394
132371
265371
3184371
4793371
53022371
64320371
75097371

prune14.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New23023
Fresh022
Picked011
Done011
Total23427
Error
0.0b
Counts
27 → 4
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
▶0.2b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))
0.3b
(fma.f64 x x (*.f64 (*.f64 (sqrt.f64 3) y) (*.f64 (sqrt.f64 3) y)))
Compiler

Compiled 360 to 183 computations (49.2% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

series45.0ms (3.2%)

Counts
3 → 48
Calls

3 calls:

25.0ms
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))
14.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y)))
5.0ms
(*.f64 (cbrt.f64 3) (*.f64 y y))

rewrite20.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
29×add-exp-log_binary64
29×pow1_binary64
18×cbrt-unprod_binary64
18×prod-exp_binary64
18×pow-prod-down_binary64
Counts
3 → 65
Calls

3 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y)))
5.0ms
(*.f64 (cbrt.f64 3) (*.f64 y y))
0.0ms
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))

simplify106.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
490×fma-def_binary64
410×times-frac_binary64
335×sqr-pow_binary64
280×*-commutative_binary64
270×associate-/l*_binary64
Counts
113 → 97
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0861286
11591095
24751065
38371065
412881065
526701065
640681060
746921060
848791060

prune81.0ms (5.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh011
Picked011
Done022
Total965101
Error
0b
Counts
101 → 5
Alt Table
StatusErrorProgram
0.3b
(fma.f64 x x (*.f64 (*.f64 (sqrt.f64 3) y) (*.f64 (sqrt.f64 3) y)))
0.2b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) y) (*.f64 (cbrt.f64 (sqrt.f64 3)) y))))
✓0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
✓0.2b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))
Compiler

Compiled 1936 to 1298 computations (33% saved)

regimes115.0ms (8.3%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Counts
21 → 1
Compiler

Compiled 1786 to 1162 computations (34.9% saved)

simplify2.0ms (0.2%)

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)

sample534.0ms (38.7%)

Algorithm
1×intervals
Results
279.0ms8000×body128valid
0.0ms5×body128invalid
Compiler

Compiled 103 to 69 computations (33% saved)

Profiling

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