Details

Time bar (total: 2.8s)

analyze113.0ms (4.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
associate-/r*_binary64
sub-neg_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
31210

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
3.9b
Counts
1 → 1
Alt Table
StatusErrorProgram
3.9b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.8b
(/.f64 x (*.f64 y y))

rewrite42.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
times-frac_binary64
pow1_binary64
Counts
1 → 46
Calls

1 calls:

12.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 467 to 172 computations (63.2% saved)

series13.0ms (0.5%)

Error
3.9b
Counts
1 → 6
Calls

1 calls:

12.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 117 to 91 computations (22.2% saved)

simplify52.0ms (1.9%)

Algorithm
egg-herbie
Rules
601×div-exp_binary64
576×prod-exp_binary64
512×times-frac_binary64
296×fma-def_binary64
253×*-commutative_binary64
Counts
52 → 24
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052409
1113351
2338351
31777345
42743343
55277343

prune16.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525
Error
0.1b
Counts
25 → 5
Alt Table
StatusErrorProgram
3.4b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) 3)
20.9b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y)))) 3)
4.4b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
0.5b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
3.9b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 261 to 145 computations (44.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))
0.4b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite436.0ms (15.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-cube-cbrt_binary64
19×add-sqr-sqrt_binary64
17×pow1_binary64
15×add-exp-log_binary64
12×log1p-expm1-u_binary64
Counts
4 → 148
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))
13.0ms
(pow.f64 (cbrt.f64 x) 2)
11.0ms
(cbrt.f64 x)
9.0ms
(cbrt.f64 x)
Compiler

Compiled 1959 to 990 computations (49.5% saved)

series65.0ms (2.3%)

Error
0.1b
Counts
4 → 15
Calls

4 calls:

18.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))
16.0ms
(pow.f64 (cbrt.f64 x) 2)
12.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
Compiler

Compiled 562 to 430 computations (23.5% saved)

simplify82.0ms (3%)

Algorithm
egg-herbie
Rules
683×unswap-sqr_binary64
583×times-frac_binary64
563×log-prod_binary64
361×associate-/l*_binary64
249×associate-/r*_binary64
Counts
163 → 92
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124992
1267878
2860856
33881856
45129856

prune54.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New86692
Fresh033
Picked011
Done011
Total861197
Error
0.1b
Counts
97 → 11
Alt Table
StatusErrorProgram
28.8b
(-.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) y)) 3)
4.4b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
17.4b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4))) y) (/.f64 (cbrt.f64 x) y)) 3)
0.7b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) y)) 3)
3.9b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
3.4b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) 3)
20.9b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y)))) 3)
2.4b
(-.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) 2) (cbrt.f64 x)) 3)
0.5b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
0.9b
(-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
3.9b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 1186 to 664 computations (44% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite137.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
28×add-cube-cbrt_binary64
16×add-sqr-sqrt_binary64
16×pow1/3_binary64
12×log1p-expm1-u_binary64
12×expm1-log1p-u_binary64
Counts
4 → 120
Calls

4 calls:

11.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 (cbrt.f64 x))
10.0ms
(cbrt.f64 x)
10.0ms
(cbrt.f64 x)
Compiler

Compiled 1848 to 939 computations (49.2% saved)

series89.0ms (3.2%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

44.0ms
(cbrt.f64 (cbrt.f64 x))
13.0ms
(cbrt.f64 x)
13.0ms
(cbrt.f64 x)
12.0ms
(cbrt.f64 x)
Compiler

Compiled 780 to 566 computations (27.4% saved)

simplify101.0ms (3.6%)

Algorithm
egg-herbie
Rules
605×log-prod_binary64
538×unswap-sqr_binary64
508×fma-def_binary64
383×distribute-lft-neg-in_binary64
383×distribute-rgt-neg-in_binary64
Counts
132 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047582
178564
2181550
3633484
41500484
52864484
64788484
74814484

prune44.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh088
Picked011
Done022
Total481260
Error
0.1b
Counts
60 → 12
Alt Table
StatusErrorProgram
28.8b
(-.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) y)) 3)
4.4b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
17.4b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4))) y) (/.f64 (cbrt.f64 x) y)) 3)
0.7b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) y)) 3)
3.9b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
3.4b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) 3)
20.9b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y)))) 3)
29.4b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x))))) y)) 3)
2.4b
(-.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) 2) (cbrt.f64 x)) 3)
0.5b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
0.9b
(-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
3.9b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 1068 to 650 computations (39.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite189.0ms (6.8%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
28×add-cube-cbrt_binary64
16×add-sqr-sqrt_binary64
16×pow1/3_binary64
12×log1p-expm1-u_binary64
12×expm1-log1p-u_binary64
Counts
4 → 120
Calls

4 calls:

12.0ms
(cbrt.f64 (cbrt.f64 x))
12.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
9.0ms
(cbrt.f64 x)
Compiler

Compiled 1848 to 883 computations (52.2% saved)

series64.0ms (2.3%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

17.0ms
(cbrt.f64 (cbrt.f64 x))
13.0ms
(cbrt.f64 x)
13.0ms
(cbrt.f64 x)
12.0ms
(cbrt.f64 x)
Compiler

Compiled 780 to 561 computations (28.1% saved)

simplify82.0ms (3%)

Algorithm
egg-herbie
Rules
605×log-prod_binary64
538×unswap-sqr_binary64
508×fma-def_binary64
383×distribute-lft-neg-in_binary64
383×distribute-rgt-neg-in_binary64
Counts
132 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047582
178564
2181550
3633484
41500484
52864484
64788484
74814484

prune51.0ms (1.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New49049
Fresh088
Picked011
Done033
Total491261
Error
0.1b
Counts
61 → 12
Alt Table
StatusErrorProgram
28.8b
(-.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) y)) 3)
4.4b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
17.4b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4))) y) (/.f64 (cbrt.f64 x) y)) 3)
0.7b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) y)) 3)
3.9b
(-.f64 (/.f64 1 (/.f64 (*.f64 y y) x)) 3)
3.4b
(-.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) 3)
20.9b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y)))) 3)
29.4b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x))))) y)) 3)
2.4b
(-.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) 2) (cbrt.f64 x)) 3)
0.5b
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
0.9b
(-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) 2) y) (/.f64 (cbrt.f64 x) y)) 3)
3.9b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 917 to 531 computations (42.1% saved)

regimes389.0ms (14%)

Accuracy

Total -0.0b remaining (-13.8%)

Threshold costs -0.0b (-13.8%)

Compiler

Compiled 7452 to 4841 computations (35% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21110
31010

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample682.0ms (24.6%)

Algorithm
intervals
Results
310.0ms8000×body128valid
15.0ms371×body128invalid
Compiler

Compiled 218 to 143 computations (34.4% saved)

Profiling

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