Details

Time bar (total: 1.4s)

analyze64.0ms

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

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
03807
13807

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt sub-neg associate-*r/
distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05044220

prune39.0ms

Filtered
15 candidates to 27 candidates (-80.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh011
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
2.7b
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
35×add-sqr-sqrt
33×*-un-lft-identity
28×cbrt-div
20×pow1 associate-*r/
15×add-exp-log add-cube-cbrt
14×flip3-- flip--
11×associate-*l* add-cbrt-cube
10×swap-sqr
associate-*r*
frac-times pow1/3 pow-prod-down distribute-lft-out--
prod-exp cbrt-unprod
difference-of-squares
associate-*l/ add-log-exp unswap-sqr
pow-sqr *-commutative pow-prod-up
pow2 pow-plus
Counts
4 → 115
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
14.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
21.0ms
(* x (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049101474
149101474

prune222.0ms

Filtered
84 candidates to 127 candidates (-51.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh033
Picked011
Done011
Total1266132

Merged error: 0.0b

Counts
132 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.3b
(* x (* y (- 1.0 y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
sub-neg associate-*r/ associate-*r* associate-*l*
distribute-rgt-in add-cube-cbrt distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* y (- 1.0 y))
7.0ms
(* x (* y (- 1.0 y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* y (- 1.0 y))
9.0ms
(* x (* y (- 1.0 y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04933399
14933399

prune51.0ms

Filtered
29 candidates to 54 candidates (-86.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh123
Picked011
Done022
Total54660

Merged error: 0.0b

Counts
60 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.1b
(* y (sqrt (- 1.0 y)))
0.1b
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
2.4b
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
26×associate-*r/
22×add-sqr-sqrt
21×pow1
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity associate-*r*
16×sqrt-prod
14×flip3-- flip--
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
frac-times
associate-*l*
associate-*l/ add-log-exp
*-commutative distribute-lft-out-- difference-of-squares
unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 103
Calls
4 calls:
3.0ms
(sqrt (- 1.0 y))
7.0ms
(* y (sqrt (- 1.0 y)))
11.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
13.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 y))
7.0ms
(* y (sqrt (- 1.0 y)))
4.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
7.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049631134
149631134

prune134.0ms

Filtered
72 candidates to 115 candidates (-59.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done033
Total1156121

Merged error: 0.0b

Counts
121 → 6

regimes130.0ms

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
0187
1187

end0.0ms

sample313.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid
4.0ms167×body80invalid

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