Details

Time bar (total: 2.2s)

analyze39.0ms (1.8%)

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)

sample20.0ms (0.9%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify14.0ms (0.6%)

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

prune7.0ms (0.3%)

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)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

5.0ms
(*.f64 (*.f64 x 3) x)

rewrite10.0ms (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:

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

simplify122.0ms (5.5%)

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

prune43.0ms (1.9%)

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 (*.f64 x 3) x)
▶0.2b
(*.f64 3 (pow.f64 x 2))
31.5b
(*.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))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
Compiler

Compiled 426 to 272 computations (36.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

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

rewrite11.0ms (0.5%)

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:

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

simplify150.0ms (6.7%)

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

prune71.0ms (3.2%)

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
▶0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
0.6b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
✓0.2b
(*.f64 (*.f64 x 3) x)
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.9b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 610 to 460 computations (24.6% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 3) x)
✓0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
✓18.4b
(sqrt.f64 (*.f64 (*.f64 x 3) x))

series16.0ms (0.7%)

Counts
2 → 24
Calls

2 calls:

11.0ms
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
5.0ms
(sqrt.f64 (*.f64 (*.f64 x 3) x))

rewrite41.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
135×pow1_binary64
74×pow-prod-down_binary64
63×sqrt-pow1_binary64
17×pow-prod-up_binary64
13×pow1/2_binary64
Counts
2 → 82
Calls

2 calls:

17.0ms
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x 3) x))

simplify133.0ms (6%)

Algorithm
1×egg-herbie
Rules
638×associate-*l*_binary64
589×fma-def_binary64
509×sqr-pow_binary64
437×associate-*r*_binary64
299×swap-sqr_binary64
Counts
106 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056957
198797
2322747
31763642
42226584
53697584
65027584

prune243.0ms (10.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1670167
Fresh044
Picked011
Done022
Total1677174
Error
0.0b
Counts
174 → 7
Alt Table
StatusErrorProgram
✓0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
0.6b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
✓0.2b
(*.f64 (*.f64 x 3) x)
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.9b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
▶0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 2839 to 2009 computations (29.2% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series30.0ms (1.4%)

Counts
3 → 36
Calls

3 calls:

17.0ms
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
7.0ms
(*.f64 x (*.f64 x (sqrt.f64 3)))
6.0ms
(*.f64 x (sqrt.f64 3))

rewrite35.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
19×add-cbrt-cube_binary64
19×add-exp-log_binary64
19×pow1_binary64
13×add-sqr-sqrt_binary64
12×associate-*l*_binary64
Counts
3 → 70
Calls

3 calls:

13.0ms
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
8.0ms
(*.f64 x (*.f64 x (sqrt.f64 3)))
7.0ms
(*.f64 x (sqrt.f64 3))

simplify141.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
725×fma-def_binary64
683×associate-/r/_binary64
343×*-commutative_binary64
251×sqr-pow_binary64
205×times-frac_binary64
Counts
106 → 99
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0811028
1175920
2590908
3857898
41499895
52543895
65072895

prune160.0ms (7.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done033
Total997106
Error
0.0b
Counts
106 → 7
Alt Table
StatusErrorProgram
✓0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
0.6b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
✓0.2b
(*.f64 (*.f64 x 3) x)
✓0.2b
(*.f64 3 (pow.f64 x 2))
0.9b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
✓0.5b
(*.f64 (sqrt.f64 3) (*.f64 x (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 1453 to 1103 computations (24.1% saved)

regimes179.0ms (8%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

Counts
55 → 1
Compiler

Compiled 1328 to 1056 computations (20.5% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample714.0ms (32.1%)

Algorithm
1×intervals
Results
277.0ms8000×body128valid
Compiler

Compiled 95 to 69 computations (27.4% saved)

Profiling

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