Details

Time bar (total: 1.0s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample14.0ms

Algorithm
intervals
Results
5.0ms213×body80valid
2.0ms21×body640valid
1.0ms13×body1280valid
0.0ms5×body320valid
0.0ms4×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
04829
14829

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: 0.3b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×associate-*l/ *-commutative
1×distribute-rgt-in distribute-lft-in diff-log unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
6.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
8.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04944551
14944551

prune97.0ms

Filtered
44 candidates to 62 candidates (-40.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New53962
Fresh011
Picked101
Done000
Total541064

Merged error: 0.1b

Counts
64 → 10

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* x 9.0))
0.1b
(* x (- 6.0 (* x 9.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 6.0 (* x 9.0))
5.0ms
(* x (- 6.0 (* x 9.0)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- 6.0 (* x 9.0))
6.0ms
(* x (- 6.0 (* x 9.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04942331
14942331

prune68.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh639
Picked101
Done000
Total391049

Merged error: 0.0b

Counts
49 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 6.0) (* x (* x (neg 9.0))))
0.2b
(* x (* x (neg 9.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×distribute-rgt-neg-out add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 32
Calls
2 calls:
4.0ms
(+ (* x 6.0) (* x (* x (neg 9.0))))
5.0ms
(* x (* x (neg 9.0)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x 6.0) (* x (* x (neg 9.0))))
3.0ms
(* x (* x (neg 9.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04870294
14870294

prune55.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh459
Picked011
Done000
Total40848

Merged error: 0.0b

Counts
48 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 6.0) (* (* x x) (neg 9.0)))
0.2b
(* (* x x) (neg 9.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-neg-out
1×+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(+ (* x 6.0) (* (* x x) (neg 9.0)))
6.0ms
(* (* x x) (neg 9.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x 6.0) (* (* x x) (neg 9.0)))
3.0ms
(* (* x x) (neg 9.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04896345
14896345

prune45.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh066
Picked011
Done011
Total45853

Merged error: 0.0b

Counts
53 → 8

regimes43.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0469
1469

end0.0ms

sample335.0ms

Algorithm
intervals
Results
177.0ms7158×body80valid
35.0ms317×body1280valid
26.0ms301×body640valid
10.0ms153×body320valid
4.0ms71×body160valid
0.0ms1×body80invalid

Profiling

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