Details

Time bar (total: 1.1s)

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)

sample22.0ms (2%)

Algorithm
1×intervals
Results
4.0ms256×body128valid
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.5%)

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)

simplify57.0ms (5%)

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

prune25.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New26531
Fresh000
Picked011
Done000
Total26632
Error
0.0b
Counts
32 → 6
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 3 (pow.f64 x 2))
27.8b
(*.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
27.8b
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
22.5b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓0.2b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 392 to 252 computations (35.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (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))

simplify88.0ms (7.7%)

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

prune37.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New42345
Fresh224
Picked011
Done011
Total44751
Error
0.0b
Counts
51 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.5b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
0.8b
(*.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 (cbrt.f64 3) (pow.f64 x 2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
22.5b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓0.2b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 588 to 450 computations (23.5% saved)

localize6.0ms (0.5%)

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))

series19.0ms (1.7%)

Counts
2 → 12
Calls

2 calls:

14.0ms
(*.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))

rewrite15.0ms (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:

7.0ms
(*.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))

simplify82.0ms (7.2%)

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 (8.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87289
Fresh224
Picked011
Done112
Total90696
Error
0b
Counts
96 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.5b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.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 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
Compiler

Compiled 1661 to 1431 computations (13.8% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series23.0ms (2%)

Counts
3 → 24
Calls

3 calls:

13.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 (cbrt.f64 3) x) x))
5.0ms
(*.f64 (*.f64 (cbrt.f64 3) x) x)
4.0ms
(*.f64 (cbrt.f64 3) x)

rewrite19.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
31×add-exp-log_binary64
31×pow1_binary64
21×add-cbrt-cube_binary64
19×cbrt-unprod_binary64
19×prod-exp_binary64
Counts
3 → 74
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 (cbrt.f64 3) x) x))
4.0ms
(*.f64 (*.f64 (cbrt.f64 3) x) x)
3.0ms
(*.f64 (cbrt.f64 3) x)

simplify86.0ms (7.6%)

Algorithm
1×egg-herbie
Rules
896×fma-def_binary64
445×associate-/l*_binary64
431×associate-/l/_binary64
399×associate-/r/_binary64
314×*-commutative_binary64
Counts
98 → 105
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0881519
1203883
2603847
3949845
41380845
52458840
64752840
75192840

prune96.0ms (8.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done022
Total1056111
Error
0b
Counts
111 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.5b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.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 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
Compiler

Compiled 1833 to 1461 computations (20.3% saved)

regimes67.0ms (5.9%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts
37 → 1
Compiler

Compiled 965 to 747 computations (22.6% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample362.0ms (31.9%)

Algorithm
1×intervals
Results
146.0ms8000×body128valid
Compiler

Compiled 90 to 73 computations (18.9% saved)

Profiling

Loading profile data...