Details

Time bar (total: 2.5s)

analyze240.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms17×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.1b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune48.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728

Merged error: 3.2b

Counts
28 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (cbrt x) (- 1.0 (* y z)))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
41.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323701
11294536
25001439

prune108.0ms

Filtered
56 candidates to 94 candidates (-67.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New87794
Fresh145
Picked011
Done011
Total8813101

Merged error: 3.2b

Counts
101 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
1.2b
(* (cbrt x) (- 1.0 (* y z)))
2.1b
(* (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
16×pow-prod-down prod-exp cbrt-unprod
15×add-cbrt-cube
14×cbrt-prod
13×add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
42.0ms
(* (cbrt x) (- 1.0 (* y z)))
14.0ms
(* (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (* (cbrt x) (- 1.0 (* y z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04691168
11879988
25001915

prune123.0ms

Filtered
62 candidates to 101 candidates (-62.9%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New992101
Fresh01010
Picked011
Done022
Total9915114

Merged error: 3.2b

Counts
114 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (cbrt x) (- 1.0 (* y z)))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×pow1 add-exp-log
26×distribute-rgt-in distribute-lft-in
25×pow-prod-down prod-exp cbrt-unprod
23×add-cbrt-cube
14×sub-neg associate-*r/
11×add-sqr-sqrt
9×associate-*l*
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 124
Calls
4 calls:
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
15.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03201369
11291930
25002735

prune152.0ms

Filtered
68 candidates to 136 candidates (-100.0%)
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh01111
Picked011
Done033
Total13615151

Merged error: 3.2b

Counts
151 → 15

regimes547.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

analyze234.0ms

Algorithm
search

sample366.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid
15.0ms517×body80invalid

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