Details

Time bar (total: 1.7s)

analyze62.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms5×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

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 (* x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune53.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New19827
Fresh000
Picked101
Done000
Total20828

Merged error: 0.0b

Counts
28 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* x y))))
0.2b
(* x (neg (* x y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (neg (* x y))))
5.0ms
(* x (neg (* x y)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* x (neg (* x y))))
4.0ms
(* x (neg (* x y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0181210
11035183
25001179

prune59.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh347
Picked011
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
51.0ms
(cbrt (* x (- 1.0 (* x y))))
52.0ms
(cbrt (* x (- 1.0 (* x y))))
49.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04231104
116381039
25001977

prune216.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh134
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×cbrt-div associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
6.0ms
(cbrt (* x (- 1.0 (* x y))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series119.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
51.0ms
(cbrt (* x (- 1.0 (* x y))))
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0347488
11205456
25001404

prune130.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185
1235
2245
3245

end0.0ms

analyze59.0ms

Algorithm
search

sample309.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
2.0ms84×body80invalid

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