Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms340×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune3.0ms

Filtered
1 candidates to 0 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 → 1

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
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167140
1840114
25002114

prune66.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New24529
Fresh000
Picked011
Done000
Total24630

Merged error: 0.0b

Counts
30 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.7b
(* x (* y (- 1.0 y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
sub-neg associate-*r/ associate-*r* associate-*l*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- 1.0 y))
7.0ms
(* x (* y (- 1.0 y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* y (- 1.0 y))
42.0ms
(* x (* y (- 1.0 y)))

simplify31.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198252
1861214
25002214

prune105.0ms

Filtered
60 candidates to 30 candidates (50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done011
Total60666

Merged error: 0.0b

Counts
66 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-sqr-sqrt sqrt-prod
18×add-exp-log *-un-lft-identity sqrt-div add-cbrt-cube
16×associate-*r*
10×add-cube-cbrt associate-*r/
flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
frac-times distribute-lft-out-- add-log-exp difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 93
Calls
4 calls:
3.0ms
(sqrt (- 1.0 y))
3.0ms
(sqrt (- 1.0 y))
16.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
8.0ms
(* (* x y) (sqrt (- 1.0 y)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (- 1.0 y))
53.0ms
(sqrt (- 1.0 y))
46.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
136.0ms
(* (* x y) (sqrt (- 1.0 y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0461734
12112649
25002626

prune284.0ms

Filtered
105 candidates to 67 candidates (63.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1041105
Fresh033
Picked011
Done022
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (- 1.0 y)))
0.1b
(cbrt (sqrt (- 1.0 y)))
0.1b
(cbrt (sqrt (- 1.0 y)))
0.1b
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
58×add-sqr-sqrt
47×sqrt-prod
42×*-un-lft-identity
22×add-cube-cbrt
18×cbrt-div sqrt-div
15×swap-sqr
11×pow1 associate-*r* associate-*l*
flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
4.0ms
(cbrt (sqrt (- 1.0 y)))
4.0ms
(cbrt (sqrt (- 1.0 y)))
3.0ms
(cbrt (sqrt (- 1.0 y)))
14.0ms
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (sqrt (- 1.0 y)))
89.0ms
(cbrt (sqrt (- 1.0 y)))
88.0ms
(cbrt (sqrt (- 1.0 y)))
96.0ms
(* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))

simplify155.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03711359
111701288
249121200
350011200

prune444.0ms

Filtered
138 candidates to 88 candidates (63.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done033
Total1387145

Merged error: 0.0b

Counts
145 → 7

regimes153.0ms

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
083
183

end0.0ms

sample492.0ms

Algorithm
intervals
Results
226.0ms10615×body80valid

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