Details

Time bar (total: 1.8s)

analyze91.0ms (5%)

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)

sample33.0ms (1.8%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify7.0ms (0.4%)

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

prune7.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
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))

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(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))

simplify65.0ms (3.6%)

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 (1.1%)

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
(fma.f64 x x (*.f64 3 (*.f64 y y)))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
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))))
1.2b
(*.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)))))
Compiler

Compiled 421 to 219 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))

series10.0ms (0.6%)

Counts
2 → 36
Calls

2 calls:

8.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))
2.0ms
(*.f64 3 (*.f64 y y))

rewrite5.0ms (0.3%)

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:

4.0ms
(*.f64 3 (*.f64 y y))
0.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))

simplify67.0ms (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

prune40.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40545
Fresh202
Picked101
Done011
Total43649
Error
0.0b
Counts
49 → 6
Alt Table
StatusErrorProgram
▶0.2b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
23.7b
(fma.f64 x x (cbrt.f64 (*.f64 (*.f64 (*.f64 3 3) 3) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))
0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3)))))
0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
0.3b
(fma.f64 x x (*.f64 (*.f64 (sqrt.f64 3) y) (*.f64 (sqrt.f64 3) y)))
Compiler

Compiled 732 to 391 computations (46.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(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:

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

simplify61.0ms (3.4%)

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

prune15.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New23023
Fresh044
Picked011
Done011
Total23629
Error
0.0b
Counts
29 → 6
Alt Table
StatusErrorProgram
✓0.2b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
23.7b
(fma.f64 x x (cbrt.f64 (*.f64 (*.f64 (*.f64 3 3) 3) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))
▶0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3)))))
0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y y))))
0.3b
(fma.f64 x x (*.f64 (*.f64 (sqrt.f64 3) y) (*.f64 (sqrt.f64 3) y)))
Compiler

Compiled 428 to 223 computations (47.9% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3)))))
✓0.2b
(*.f64 y (*.f64 y (sqrt.f64 3)))
✓0.3b
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3))))
✓0.4b
(*.f64 y (sqrt.f64 3))

series29.0ms (1.6%)

Counts
4 → 48
Calls

4 calls:

15.0ms
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3)))))
8.0ms
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3))))
4.0ms
(*.f64 y (*.f64 y (sqrt.f64 3)))
3.0ms
(*.f64 y (sqrt.f64 3))

rewrite17.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
20×add-cbrt-cube_binary64
20×add-exp-log_binary64
20×pow1_binary64
14×add-sqr-sqrt_binary64
12×associate-*l*_binary64
Counts
4 → 80
Calls

4 calls:

6.0ms
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3))))
4.0ms
(*.f64 y (*.f64 y (sqrt.f64 3)))
3.0ms
(*.f64 y (sqrt.f64 3))
0.0ms
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y (sqrt.f64 3)))))

simplify103.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
575×fma-def_binary64
349×distribute-rgt-in_binary64
280×sqr-pow_binary64
271×associate-+l+_binary64
246×*-commutative_binary64
Counts
128 → 111
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0951347
11941208
26371196
39601186
417451183
536381183
648611183
750111183

prune110.0ms (6.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1083111
Fresh303
Picked101
Done022
Total1125117
Error
0b
Counts
117 → 5
Alt Table
StatusErrorProgram
✓0.2b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
0.3b
(*.f64 (hypot.f64 x (*.f64 y (sqrt.f64 3))) (hypot.f64 x (*.f64 y (sqrt.f64 3))))
0.3b
(fma.f64 x x (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 (*.f64 y (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3))))))
0.3b
(fma.f64 x x (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 y (*.f64 y (sqrt.f64 3))))))
Compiler

Compiled 1930 to 1300 computations (32.6% saved)

regimes343.0ms (18.8%)

Accuracy

Total 0.1b remaining (92.8%)

Threshold costs 0.1b (92.8%)

Counts
76 → 1
Compiler

Compiled 6439 to 4421 computations (31.3% saved)

simplify3.0ms (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)

sample750.0ms (41.3%)

Algorithm
1×intervals
Results
273.0ms8000×body128valid
0.0ms11×body128invalid
Compiler

Compiled 107 to 73 computations (31.8% saved)

Profiling

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