Details

Time bar (total: 1.2s)

analyze18.0ms (1.5%)

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)

sample10.0ms (0.8%)

Algorithm
1×intervals
Results
4.0ms256×body128valid
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify9.0ms (0.7%)

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)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (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)

series10.0ms (0.8%)

Counts
1 → 12
Calls

1 calls:

10.0ms
(*.f64 (*.f64 x 3) x)

simplify71.0ms (5.9%)

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 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042296
189260
2280251
3551249
4764249
51314249
62592249
74883249
84953249

prune23.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh000
Picked011
Done000
Total54761
Error
0.0b
Counts
61 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
32.1b
(*.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
0.9b
(*.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)))
0.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
29.6b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
▶0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 440 to 284 computations (35.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.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))

series9.0ms (0.8%)

Counts
1 → 0
Calls

1 calls:

9.0ms
(*.f64 3 (pow.f64 x 2))

simplify102.0ms (8.5%)

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 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055321
197249
2197239
3636233
41074233
52909233
63983233
74567233
84972233
94879233

prune39.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New51455
Fresh415
Picked011
Done011
Total55762
Error
0b
Counts
62 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (pow.f64 x 2)))
▶0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
0.5b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
29.6b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 586 to 458 computations (21.8% 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))

rewrite18.0ms (1.5%)

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:

11.0ms
(*.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))

series48.0ms (3.9%)

Counts
2 → 12
Calls

2 calls:

32.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
16.0ms
(*.f64 (cbrt.f64 3) (pow.f64 x 2))

simplify89.0ms (7.4%)

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 → 142
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090929
1170724
2498714
3820693
41385693
53644693
64375693
74977693

prune78.0ms (6.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh044
Picked011
Done022
Total1427149
Error
0b
Counts
149 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (pow.f64 x 2)))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
▶0.5b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
29.6b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 1652 to 1426 computations (13.7% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite11.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
43×pow1_binary64
18×pow-prod-down_binary64
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
9×add-sqr-sqrt_binary64
Counts
2 → 60
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
3.0ms
(*.f64 x (sqrt.f64 3))

series35.0ms (2.9%)

Counts
2 → 24
Calls

2 calls:

23.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
11.0ms
(*.f64 x (sqrt.f64 3))

simplify84.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
727×fma-def_binary64
393×associate-/l/_binary64
356×associate-/r/_binary64
355×associate-/l*_binary64
233×sqr-pow_binary64
Counts
84 → 146
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065670
1126576
2400561
3655561
41146561
52081561
64930561
75106561

prune77.0ms (6.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done033
Total2007207
Error
0b
Counts
207 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (pow.f64 x 2)))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓0.5b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
29.6b
(cbrt.f64 (*.f64 27 (pow.f64 x 6)))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 1437 to 1113 computations (22.5% saved)

regimes52.0ms (4.3%)

Accuracy

Total 0.2b remaining (90.3%)

Threshold costs 0.2b (90.3%)

Compiler

Compiled 738 to 566 computations (23.3% saved)

simplify4.0ms (0.4%)

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)

sample391.0ms (32.4%)

Algorithm
1×intervals
Results
155.0ms8000×body128valid
Compiler

Compiled 83 to 68 computations (18.1% saved)

Profiling

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