Details

Time bar (total: 16.2s)

sample34.0ms

Algorithm
intervals
Results
14.0ms341×body80valid

simplify189.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41017
51087
61127
done1127

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
77.0ms
(* (* x y) (- 1.0 y))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(* (* x y) (- 1.0 y))

simplify4.5s

Counts
49 → 49
Iterations

Useful iterations: done (4.5s)

IterNodesCost
0110883
1274712
2834570
33358528
done5000402

prune69.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 1.0 y))
0.1b
(* (* x (- 1.0 y)) y)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
28.0ms
(* x (- 1.0 y))
49.0ms
(* (* x (- 1.0 y)) y)

series106.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (- 1.0 y))
61.0ms
(* (* x (- 1.0 y)) y)

simplify3.0s

Counts
74 → 74
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0129982
1268806
2721652
33132598
done5002544

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
9.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))
52.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- 1.0 y))
97.0ms
(cbrt (- 1.0 y))
95.0ms
(cbrt (- 1.0 y))
136.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify2.0s

Counts
121 → 121
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01521619
13301463
28481391
321271271
done50001242

prune520.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x (- 1.0 y)) y)) (cbrt (* (* x (- 1.0 y)) y)))
11.5b
(cbrt (* (* x (- 1.0 y)) y))
11.5b
(cbrt (* (* x (- 1.0 y)) y))
11.5b
(cbrt (* (* x (- 1.0 y)) y))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/ associate-*l/
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×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
49.0ms
(* (cbrt (* (* x (- 1.0 y)) y)) (cbrt (* (* x (- 1.0 y)) y)))
43.0ms
(cbrt (* (* x (- 1.0 y)) y))
48.0ms
(cbrt (* (* x (- 1.0 y)) y))
29.0ms
(cbrt (* (* x (- 1.0 y)) y))

series694.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (* (* x (- 1.0 y)) y)) (cbrt (* (* x (- 1.0 y)) y)))
197.0ms
(cbrt (* (* x (- 1.0 y)) y))
160.0ms
(cbrt (* (* x (- 1.0 y)) y))
142.0ms
(cbrt (* (* x (- 1.0 y)) y))

simplify2.5s

Counts
92 → 92
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01732079
14231907
211411747
334071429
done50011359

prune328.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes107.0ms

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

sample951.0ms

Algorithm
intervals
Results
423.0ms10796×body80valid