Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample630.0ms (45.5%)

Results
600.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×associate-*l*_binary64
1×associate-*r*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
2107
3107

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(*.f64 (*.f64 x 3) x)

rewrite5.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*r*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 (*.f64 x 3) x)

simplify66.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
793×fma-def_binary64
445×times-frac_binary64
424×distribute-rgt-in_binary64
318×associate-*l*_binary64
257×sqr-pow_binary64
Counts
32 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042296
189260
2280251
3551249
4764249
51314249
62592249
74883249
84953249

prune20.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New27431
Fresh000
Picked011
Done000
Total27532
Error
0.0b
Counts
32 → 5
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
36.6b
(*.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
1.0b
(*.f64 (*.f64 (*.f64 x 3) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 3 (*.f64 x x))))
▶0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 398 to 248 computations (37.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))

series2.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

2.0ms
(*.f64 3 (pow.f64 x 2))

rewrite5.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
8×associate-*r*_binary64
6×add-exp-log_binary64
4×unswap-sqr_binary64
4×unpow-prod-down_binary64
Counts
1 → 29
Calls

1 calls:

4.0ms
(*.f64 3 (pow.f64 x 2))

simplify97.0ms (7%)

Algorithm
1×egg-herbie
Rules
656×unswap-sqr_binary64
445×exp-prod_binary64
443×log-prod_binary64
398×cube-prod_binary64
337×*-commutative_binary64
Counts
29 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055321
197249
2197239
3636233
41074233
52909233
63983233
74567233
84972233
94879233

prune49.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New39645
Fresh213
Picked101
Done011
Total42850
Error
0.0b
Counts
50 → 8
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
36.6b
(*.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
0.7b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
36.7b
(*.f64 (*.f64 3 x) (pow.f64 (sqrt.f64 x) 2))
1.1b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
▶0.4b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 2))) (sqrt.f64 (*.f64 3 (pow.f64 x 2))))
Compiler

Compiled 624 to 481 computations (22.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓0.3b
(*.f64 (cbrt.f64 3) (pow.f64 x 2))

series24.0ms (1.7%)

Counts
2 → 12
Calls

2 calls:

19.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
5.0ms
(*.f64 (cbrt.f64 3) (pow.f64 x 2))

rewrite18.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
31×add-exp-log_binary64
21×prod-exp_binary64
18×add-sqr-sqrt_binary64
9×associate-*r*_binary64
9×cbrt-unprod_binary64
Counts
2 → 62
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
5.0ms
(*.f64 (cbrt.f64 3) (pow.f64 x 2))

simplify81.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
527×times-frac_binary64
398×unswap-sqr_binary64
392×fma-def_binary64
321×log-prod_binary64
302×associate-+l+_binary64
Counts
74 → 89
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089929
1165724
2489714
3811693
41373693
53632693
64363693
74969693

prune91.0ms (6.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New86389
Fresh426
Picked011
Done011
Total90797
Error
0.0b
Counts
97 → 7
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 (cbrt.f64 3) x) x))
✓0.4b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
✓0.2b
(*.f64 (*.f64 x 3) x)
▶0.2b
(pow.f64 (*.f64 3 (*.f64 x x)) 1)
0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 1669 to 1436 computations (14% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(*.f64 3 (*.f64 x x))

rewrite8.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*l*_binary64
3×add-sqr-sqrt_binary64
Counts
1 → 21
Calls

1 calls:

4.0ms
(*.f64 3 (*.f64 x x))

simplify58.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
722×fma-def_binary64
701×associate-/l/_binary64
384×distribute-rgt-in_binary64
347×distribute-lft-in_binary64
212×*-commutative_binary64
Counts
33 → 24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039306
176270
2175261
3419261
4633261
51054261
62130261
74875261
84875261

prune30.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New24024
Fresh044
Picked011
Done022
Total24731
Error
0.0b
Counts
31 → 7
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 (cbrt.f64 3) x) x))
✓0.4b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
✓0.2b
(*.f64 (*.f64 x 3) x)
✓0.2b
(pow.f64 (*.f64 3 (*.f64 x x)) 1)
0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 361 to 256 computations (29.1% saved)

regimes85.0ms (6.1%)

Accuracy

Total 0.2b remaining (93.7%)

Threshold costs 0.2b (93.7%)

Counts
46 → 1
Compiler

Compiled 1308 to 1088 computations (16.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end84.0ms (6.1%)

Compiler

Compiled 92 to 73 computations (20.7% saved)

Profiling

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