Details

Time bar (total: 1.7s)

analyze233.0ms (13.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 18 computations (25% saved)

sample23.0ms (1.3%)

Algorithm
intervals
Results
9.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify210.0ms (12.2%)

Algorithm
egg-herbie
Rules
793×distribute-rgt-neg-in_binary64
655×distribute-lft-neg-in_binary64
625×unswap-sqr_binary64
476×cube-prod_binary64
441×cancel-sign-sub-inv_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
12722
26722
313122
434022
5100622
6175722
7331522
8316722
9350322
10374822
11328122
12458822
13455422
14483322
15487222
16469822

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
52.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
52.0b
(+.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 51 to 39 computations (23.5% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite28.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
52.0b
Rules
cancel-sign-sub-inv_binary64
unpow-prod-down_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 18
Calls

1 calls:

7.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
Compiler

Compiled 447 to 328 computations (26.6% saved)

series39.0ms (2.3%)

Error
52.0b
Counts
1 → 12
Calls

1 calls:

37.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
Compiler

Compiled 321 to 243 computations (24.3% saved)

simplify77.0ms (4.5%)

Algorithm
egg-herbie
Rules
519×*-commutative_binary64
441×unsub-neg_binary64
369×times-frac_binary64
319×distribute-rgt-in_binary64
309×exp-prod_binary64
Counts
30 → 14
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058415
1147376
2371376
31310376
42979370
54399370
64909370

prune8.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New13114
Fresh000
Picked101
Done000
Total14115
Error
52.0b
Counts
15 → 1
Alt Table
StatusErrorProgram
52.0b
(+.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3)) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 163 to 121 computations (25.8% saved)

localize11.0ms (0.7%)

Local error

Found 2 expressions with local error:

1.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite62.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
52.0b
Rules
12×cbrt-prod_binary64
cancel-sign-sub-inv_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 41
Calls

2 calls:

7.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
Compiler

Compiled 1145 to 884 computations (22.8% saved)

series81.0ms (4.7%)

Error
52.0b
Counts
2 → 24
Calls

2 calls:

40.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
37.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
Compiler

Compiled 703 to 546 computations (22.3% saved)

simplify96.0ms (5.5%)

Algorithm
egg-herbie
Rules
597×associate-*l*_binary64
569×associate-*r*_binary64
483×unswap-sqr_binary64
208×swap-sqr_binary64
193×distribute-lft-in_binary64
Counts
65 → 37
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0911096
12071002
25931002
328531002
44900988
54980988

prune19.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done000
Total37138
Error
52.0b
Counts
38 → 1
Alt Table
StatusErrorProgram
52.0b
(+.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3)) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 425 to 319 computations (24.9% saved)

regimes35.0ms (2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 445 to 349 computations (21.6% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12127
22627
32827
42927
52927

end1.0ms (0.1%)

Compiler

Compiled 20 to 16 computations (20% saved)

sample792.0ms (45.7%)

Algorithm
intervals
Results
315.0ms8000×body128valid
147.0ms8000×pre128true
Compiler

Compiled 66 to 52 computations (21.2% saved)

Profiling

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