Details

Time bar (total: 1.3s)

analyze7.0ms

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
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1139

prune6.0ms

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:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg *-un-lft-identity associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
6.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04929272
14929272

prune41.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New22426
Fresh101
Picked011
Done000
Total23528

Merged error: 0b

Counts
28 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
0.0b
(* 2.0 (neg (pow x 3)))
0.2b
(* x (* x 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
14×add-sqr-sqrt
12×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod associate-*l*
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×cube-mult unpow3 *-commutative distribute-rgt-neg-out sqr-pow
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
4.0ms
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
8.0ms
(* 2.0 (neg (pow x 3)))
5.0ms
(* x (* x 3.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
4.0ms
(* 2.0 (neg (pow x 3)))
3.0ms
(* x (* x 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05000591

prune98.0ms

Filtered
54 candidates to 83 candidates (-53.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh123
Picked101
Done011
Total84488

Merged error: 0b

Counts
88 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
21.8b
(sqrt (* x (* x 3.0)))
21.8b
(sqrt (* x (* x 3.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
4.0ms
(* x (* x 3.0))
11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
5.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05385524

prune121.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done011
Total1204124

Merged error: 0b

Counts
124 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))
0.1b
(* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))
0.2b
(* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))))
5.0b
(/ (* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))) (+ 3.0 (* x 2.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
10×associate-*r/
9×add-cube-cbrt *-un-lft-identity
7×sub-neg prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×distribute-rgt-in distribute-lft-in
4×flip3-- associate-*r* pow-prod-down flip--
3×cbrt-undiv times-frac div-exp associate-/r*
2×associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 84
Calls
4 calls:
3.0ms
(- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))
6.0ms
(* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))
7.0ms
(* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))))
12.0ms
(/ (* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))) (+ 3.0 (* x 2.0)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))
8.0ms
(* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))
8.0ms
(* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0))))))
11.0ms
(/ (* x (* x (- (* 3.0 3.0) (* x (* x (* 2.0 2.0)))))) (+ 3.0 (* x 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049651357
149651357

prune109.0ms

Filtered
62 candidates to 96 candidates (-54.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh101
Picked011
Done022
Total964100

Merged error: 0b

Counts
100 → 4

regimes254.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
199

end0.0ms

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
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14

sample272.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid

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