Details

Time bar (total: 2.6s)

analyze188.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms3×body80invalid
0.0ms1×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize146.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.3b
(* x (log y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r*
3×sub-neg associate-*l*
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(- (- (* x (log y)) z) y)
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- (* x (log y)) z) y)
11.0ms
(- (* x (log y)) z)
11.0ms
(* x (log y))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0278385
1810356
22394328
35001328

prune90.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71576
Fresh000
Picked011
Done000
Total71677

Merged error: 0.0b

Counts
77 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
12.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series266.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* x (log (cbrt y)))
36.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
32.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362765
11356673
25002593

prune134.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh404
Picked101
Done011
Total1164120

Merged error: 0b

Counts
120 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))

series107.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt y)
25.0ms
(cbrt y)
21.0ms
(cbrt y)
29.0ms
(cbrt (cbrt y))

simplify79.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune126.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463

Merged error: 0b

Counts
63 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
40×distribute-rgt-in distribute-lft-in
28×associate-+l+
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
15×cbrt-prod unpow-prod-down
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 113
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series88.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
26.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
23.0ms
(cbrt y)
19.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0492803
11911693
25001507

prune167.0ms

Filtered
90 candidates to 125 candidates (-38.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done022
Total1254129

Merged error: 0b

Counts
129 → 4

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

analyze182.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14

sample471.0ms

Algorithm
intervals
Results
302.0ms7998×body80valid
1.0ms29×body80invalid
1.0ms36×body80nan
1.0ms2×body1280valid

Profiling

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