Details

Time bar (total: 2.4s)

analyze87.0ms (3.6%)

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
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 18 to 8 computations (55.6% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify10.0ms (0.4%)

Algorithm
egg-herbie
Rules
associate-*r*_binary64 associate-+l+_binary64 *-commutative_binary64
associate-+r+_binary64 +-commutative_binary64
distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*l*_binary64
1-exp_binary64 distribute-rgt-out_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0822
11419
22413
33513
44013
54113
63913

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
Compiler

Compiled 67 to 35 computations (47.8% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite36.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
associate-*r*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y 3))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
Compiler

Compiled 445 to 234 computations (47.4% saved)

series40.0ms (1.7%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

25.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
9.0ms
(*.f64 y (*.f64 y 3))
Compiler

Compiled 262 to 207 computations (21% saved)

simplify86.0ms (3.6%)

Algorithm
egg-herbie
Rules
484×associate-*l*_binary64
393×cancel-sign-sub-inv_binary64
375×distribute-rgt-out_binary64
327×distribute-rgt-neg-in_binary64
324×associate-*r*_binary64
Counts
44 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059544
1167499
2522484
31513482
43485482
54782482
64956482

prune29.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh011
Picked011
Done000
Total34539
Error
0.0b
Counts
39 → 5
Alt Table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
31.2b
(+.f64 (*.f64 x x) (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 3 y) (cbrt.f64 y))))
Compiler

Compiled 447 to 232 computations (48.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

rewrite53.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-log-exp_binary64
10×sum-log_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
associate-+l+_binary64
Counts
3 → 38
Calls

3 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
6.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 1008 to 148 computations (85.3% saved)

series88.0ms (3.6%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

29.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
27.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
24.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 775 to 521 computations (32.8% saved)

simplify96.0ms (4%)

Algorithm
egg-herbie
Rules
530×distribute-rgt-out_binary64
389×distribute-rgt-in_binary64
337×distribute-lft-in_binary64
286×unswap-sqr_binary64
231×associate-*l*_binary64
Counts
74 → 65
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0711166
12261065
2660956
32542956
44557956
55017956

prune35.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh033
Picked011
Done011
Total64670
Error
0b
Counts
70 → 6
Alt Table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0b
(+.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
31.2b
(+.f64 (*.f64 x x) (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 3 y) (cbrt.f64 y))))
Compiler

Compiled 789 to 296 computations (62.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite89.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1421 to 493 computations (65.3% saved)

series76.0ms (3.2%)

Error
0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
18.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)
Compiler

Compiled 646 to 423 computations (34.5% saved)

simplify97.0ms (4%)

Algorithm
egg-herbie
Rules
735×log-prod_binary64
577×distribute-rgt-in_binary64
538×distribute-lft-in_binary64
525×unswap-sqr_binary64
287×associate-*l*_binary64
Counts
85 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054624
194576
2292556
3763542
41759418
54280418
64543418
74810418

prune37.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done022
Total64670
Error
0b
Counts
70 → 6
Alt Table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0b
(+.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (cbrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
31.2b
(+.f64 (*.f64 x x) (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 3 y) (cbrt.f64 y))))
Compiler

Compiled 759 to 362 computations (52.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
19.3b
(cbrt.f64 (*.f64 3 (*.f64 y y)))
19.3b
(cbrt.f64 (*.f64 3 (*.f64 y y)))
19.3b
(cbrt.f64 (*.f64 3 (*.f64 y y)))

rewrite105.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
4.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
4.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
4.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 1632 to 884 computations (45.8% saved)

series93.0ms (3.9%)

Error
0b
Counts
4 → 12
Calls

4 calls:

25.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
23.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
20.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
20.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 743 to 534 computations (28.1% saved)

simplify93.0ms (3.8%)

Algorithm
egg-herbie
Rules
527×associate-*r/_binary64
457×associate-*l/_binary64
346×*-commutative_binary64
296×associate-*l*_binary64
235×sqr-pow_binary64
Counts
70 → 54
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052956
199919
2280851
3913838
41490720
51896720
63995720
74962720

prune62.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New53154
Fresh112
Picked011
Done033
Total54660
Error
0b
Counts
60 → 6
Alt Table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y y)))))
31.2b
(+.f64 (*.f64 x x) (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))))
0.5b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 3))))
0.6b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 3 y) (cbrt.f64 y))))
Compiler

Compiled 1043 to 578 computations (44.6% saved)

regimes598.0ms (24.7%)

Accuracy

Total 0.1b remaining (81.7%)

Threshold costs 0.1b (81.7%)

Compiler

Compiled 6361 to 3700 computations (41.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21113

end1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample545.0ms (22.5%)

Algorithm
intervals
Results
223.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 144 to 84 computations (41.7% saved)

Profiling

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