Details

Time bar (total: 2.0s)

analyze91.0ms (4.5%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample19.0ms (0.9%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
13×associate-*l*_binary64
11×associate-*r*_binary64
10×*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22810
33610
43510
53510

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
0.2b
(*.f64 (*.f64 x 3) y)

rewrite51.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-*r*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

7.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
5.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 460 to 270 computations (41.3% saved)

series33.0ms (1.6%)

Error
0.1b
Counts
2 → 12
Calls

2 calls:

17.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
13.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 232 to 167 computations (28% saved)

simplify70.0ms (3.4%)

Algorithm
egg-herbie
Rules
420×associate-+l+_binary64
372×*-commutative_binary64
360×associate-/l*_binary64
328×associate-*l/_binary64
303×associate-/l/_binary64
Counts
51 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064612
1159504
2676504
31005502
41466502
52706502
65066502

prune27.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New30737
Fresh000
Picked011
Done000
Total30838
Error
0.0b
Counts
38 → 8
Alt Table
StatusErrorProgram
12.5b
(*.f64 3 (*.f64 x (*.f64 y y)))
0.9b
(*.f64 (*.f64 y (*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
13.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y))))) (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y)))))
0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
28.1b
(*.f64 (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) (sqrt.f64 (*.f64 3 (*.f64 x y)))) y)
20.4b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3)) y)
0.2b
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
32.7b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
Compiler

Compiled 445 to 255 computations (42.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
0.3b
(*.f64 3 (*.f64 x y))

rewrite59.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-exp-log_binary64
11×prod-exp_binary64
add-cbrt-cube_binary64
pow1_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
Counts
2 → 43
Calls

2 calls:

8.0ms
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
5.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 618 to 378 computations (38.8% saved)

series33.0ms (1.6%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

17.0ms
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
14.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 258 to 193 computations (25.2% saved)

simplify101.0ms (5%)

Algorithm
egg-herbie
Rules
493×distribute-rgt-in_binary64
456×distribute-lft-in_binary64
408×sqr-pow_binary64
348×*-commutative_binary64
265×unswap-sqr_binary64
Counts
55 → 35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082634
1156577
2646577
31138575
42118575
54360575
64997575
74936575

prune28.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh336
Picked011
Done011
Total35843
Error
0.0b
Counts
43 → 8
Alt Table
StatusErrorProgram
12.5b
(*.f64 3 (*.f64 x (*.f64 y y)))
32.7b
(*.f64 (*.f64 (*.f64 3 x) (pow.f64 y 3/2)) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 y (*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
13.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y))))) (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 y y)))))
0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
28.1b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) (*.f64 y (sqrt.f64 (*.f64 3 (*.f64 x y)))))
0.2b
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
0.5b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
Compiler

Compiled 469 to 282 computations (39.9% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
0.3b
(*.f64 (*.f64 x y) (sqrt.f64 3))
0.3b
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))

rewrite110.0ms (5.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
34×add-exp-log_binary64
21×prod-exp_binary64
19×add-cbrt-cube_binary64
18×pow1_binary64
12×add-sqr-sqrt_binary64 associate-*l*_binary64
Counts
3 → 71
Calls

3 calls:

9.0ms
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))
7.0ms
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
6.0ms
(*.f64 (*.f64 x y) (sqrt.f64 3))
Compiler

Compiled 1316 to 943 computations (28.3% saved)

series83.0ms (4.1%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

29.0ms
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
28.0ms
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))
21.0ms
(*.f64 (*.f64 x y) (sqrt.f64 3))
Compiler

Compiled 529 to 425 computations (19.7% saved)

simplify131.0ms (6.5%)

Algorithm
egg-herbie
Rules
569×unswap-sqr_binary64
488×*-commutative_binary64
331×sqr-pow_binary64
294×exp-prod_binary64
293×log-prod_binary64
Counts
89 → 71
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141356
1237952
2954952
31717944
43837944
54750944
64984944
74961944

prune53.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New66571
Fresh325
Picked011
Done112
Total70979
Error
0.0b
Counts
79 → 9
Alt Table
StatusErrorProgram
12.5b
(*.f64 3 (*.f64 x (*.f64 y y)))
28.1b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1) y)
32.7b
(*.f64 (*.f64 (*.f64 3 x) (pow.f64 y 3/2)) (sqrt.f64 y))
0.3b
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1) y)
12.5b
(*.f64 x (*.f64 3 (*.f64 y y)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 3) 1) (*.f64 y (*.f64 x (*.f64 (sqrt.f64 3) y))))
0.2b
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
20.4b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) 1) y)
0.5b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
Compiler

Compiled 771 to 558 computations (27.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1) y)
0.3b
(*.f64 x (*.f64 3 y))

rewrite59.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-exp-log_binary64
11×prod-exp_binary64
add-cbrt-cube_binary64
pow1_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1) y)
5.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 618 to 423 computations (31.6% saved)

series33.0ms (1.6%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

17.0ms
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1) y)
14.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 258 to 193 computations (25.2% saved)

simplify104.0ms (5.1%)

Algorithm
egg-herbie
Rules
441×distribute-rgt-in_binary64
406×distribute-lft-in_binary64
404×*-commutative_binary64
272×unswap-sqr_binary64
208×sqr-pow_binary64
Counts
55 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084634
1162577
2737577
31229575
42241575
54377575
64665575
74969575

prune30.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh066
Picked011
Done022
Total43952
Error
0.0b
Counts
52 → 9
Alt Table
StatusErrorProgram
12.5b
(*.f64 3 (*.f64 x (*.f64 y y)))
28.1b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1) y)
32.7b
(*.f64 (*.f64 (*.f64 3 x) (pow.f64 y 3/2)) (sqrt.f64 y))
0.3b
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1) y)
12.5b
(*.f64 x (*.f64 3 (*.f64 y y)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 3) 1) (*.f64 y (*.f64 x (*.f64 (sqrt.f64 3) y))))
0.2b
(*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y)
20.4b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) 1) y)
0.5b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) 1) y)
Compiler

Compiled 449 to 278 computations (38.1% saved)

regimes307.0ms (15.1%)

Accuracy

Total 0.2b remaining (90.8%)

Threshold costs 0.2b (90.8%)

Compiler

Compiled 3916 to 2796 computations (28.6% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample571.0ms (28.1%)

Algorithm
intervals
Results
191.0ms8000×body128valid
4.0ms166×body128invalid
Compiler

Compiled 136 to 101 computations (25.7% saved)

Profiling

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