Details

Time bar (total: 3.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms347×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273
done1273

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:
33.0ms
(* (* x y) (- 1.0 y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* x y) (- 1.0 y))

simplify42.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292436
11402284
25001272
done5001272

prune49.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite55.0ms

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:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
39.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
111.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify144.0ms

Counts
121 → 121
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0328874
11077836
24703779
35001778
done5001778

prune309.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-prod
72×add-sqr-sqrt
58×*-un-lft-identity
40×cbrt-div
26×add-cube-cbrt
23×swap-sqr
19×associate-*r* associate-*l*
18×pow1
14×flip3-- pow1/3 flip-- distribute-lft-out--
13×unswap-sqr
10×difference-of-squares
8×add-exp-log frac-times
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 164
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
46.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
38.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- 1.0 y))
92.0ms
(cbrt (- 1.0 y))
113.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
109.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify58.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05061542
117471478
250021345
done50021345

prune505.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-div
62×cbrt-prod
53×add-sqr-sqrt
49×*-un-lft-identity
24×flip3-- flip--
21×add-cube-cbrt
20×swap-sqr
18×pow1
16×frac-times associate-*r* associate-*l*
14×pow1/3
12×distribute-lft-out--
8×add-exp-log associate-*r/ associate-*l/ difference-of-squares unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 157
Calls
4 calls:
14.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
6.0ms
(cbrt (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
39.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
37.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
109.0ms
(cbrt (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
107.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
106.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify55.0ms

Counts
169 → 169
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04691546
115051470
250011384
done50011384

prune604.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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
083
183
done83

end0.0ms

sample390.0ms

Algorithm
intervals
Results
177.0ms10634×body80valid