Details

Time bar (total: 5.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3387
4437
done437

prune6.0ms

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:
6.0ms
(* x (- 1.0 (* x y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

simplify1.2s

Counts
27 → 27
Iterations

Useful iterations: 4 (484.0ms)

IterNodesCost
051273
1125271
2360245
31175237
43467236
done5000236

prune49.0ms

Filtered
18 candidates to 27 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728

Merged error: 0.0b

Counts
28 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
41.0ms
(cbrt (- 1.0 (* x y)))
45.0ms
(cbrt (- 1.0 (* x y)))
43.0ms
(cbrt (- 1.0 (* x y)))

simplify989.0ms

Counts
99 → 99
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
01492074
13581898
211691767
341771641
done50001620

prune259.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh055
Picked011
Done011
Total979106

Merged error: 0.0b

Counts
106 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* x y) (* x y))
0.8b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
5.5b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
7.0ms
(* (* x y) (* x y))
7.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
10.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (* x y) (* x y))
14.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
16.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify584.0ms

Counts
93 → 93
Iterations

Useful iterations: done (581.0ms)

IterNodesCost
01311465
13861362
216881108
done50011097

prune112.0ms

Filtered
55 candidates to 93 candidates (-69.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh336
Picked101
Done022
Total948102

Merged error: 0b

Counts
102 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
0.3b
(* (* x y) (* x y))
4.1b
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
63×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×pow1
22×add-exp-log associate-/r* add-cbrt-cube
17×pow-prod-down
16×difference-of-squares
11×associate-/r/
8×prod-exp cbrt-unprod
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp pow-sqr pow-prod-up
3×add-log-exp
2×frac-2neg pow-plus clear-num associate-/l/
1×pow2 flip3-+ swap-sqr associate-*r* associate-*l* *-commutative flip-+
Counts
3 → 159
Calls
3 calls:
10.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
7.0ms
(* (* x y) (* x y))
8.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

series42.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
7.0ms
(* (* x y) (* x y))
19.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify743.0ms

Counts
168 → 168
Iterations

Useful iterations: done (737.0ms)

IterNodesCost
02694477
16744286
230703944
done50013936

prune264.0ms

Filtered
129 candidates to 168 candidates (-30.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1671168
Fresh235
Picked101
Done022
Total1706176

Merged error: 0b

Counts
176 → 6

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample578.0ms

Algorithm
intervals
Results
269.0ms10765×body80valid

Profiling

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