Details

Time bar (total: 3.0s)

analyze179.0ms (5.9%)

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)

sample30.0ms (1%)

Algorithm
1×intervals
Results
16.0ms256×body128valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify15.0ms (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

prune6.0ms (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
(fma.f64 y (*.f64 y 3) (*.f64 x x))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 79 to 36 computations (54.4% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

15.0ms
(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:

1.0ms
(fma.f64 y (*.f64 y 3) (*.f64 x x))

simplify93.0ms (3.1%)

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

prune35.0ms (1.2%)

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
0.2b
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x))) (sqrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x))))
1.2b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x))) (cbrt.f64 (fma.f64 y (*.f64 y 3) (*.f64 x x)))) (cbrt.f64 (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 421 to 219 computations (48% saved)

localize9.0ms (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))

series26.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

16.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))
10.0ms
(*.f64 3 (*.f64 y y))

rewrite14.0ms (0.5%)

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:

11.0ms
(*.f64 3 (*.f64 y y))
1.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))

simplify102.0ms (3.4%)

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

prune70.0ms (2.3%)

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))))
0.2b
(fma.f64 x x (*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (sqrt.f64 (*.f64 3 (*.f64 y y)))))
Compiler

Compiled 672 to 353 computations (47.5% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

15.0ms
(fma.f64 3 (*.f64 y y) (*.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:

1.0ms
(fma.f64 3 (*.f64 y y) (*.f64 x x))

simplify96.0ms (3.2%)

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

prune83.0ms (2.7%)

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))))
0.2b
(fma.f64 x x (*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (sqrt.f64 (*.f64 3 (*.f64 y y)))))
Compiler

Compiled 368 to 185 computations (49.7% saved)

localize17.0ms (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))

series85.0ms (2.8%)

Counts
3 → 48
Calls

3 calls:

49.0ms
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))
24.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y)))
11.0ms
(*.f64 (cbrt.f64 3) (*.f64 y y))

rewrite41.0ms (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:

21.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y)))
10.0ms
(*.f64 (cbrt.f64 3) (*.f64 y y))
1.0ms
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y y))))

simplify179.0ms (5.9%)

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

prune162.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh101
Picked011
Done022
Total974101
Error
0b
Counts
101 → 4
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
0.2b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 y y)))))
✓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 1922 to 1288 computations (33% saved)

regimes281.0ms (9.3%)

Accuracy

Total 0.1b remaining (90.3%)

Threshold costs 0.1b (90.3%)

Counts
29 → 1
Compiler

Compiled 2413 to 1543 computations (36.1% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
2911

end1.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.4s (47.7%)

Algorithm
1×intervals
Results
828.0ms8000×body128valid
1.0ms8×body128invalid
Compiler

Compiled 89 to 59 computations (33.7% saved)

Profiling

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