Details

Time bar (total: 13.1s)

sample32.0ms

Algorithm
intervals
Results
12.0ms343×body80valid

simplify122.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41017
51087
61127
done1127

prune4.0ms

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))

rewrite61.0ms

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:
57.0ms
(* (* x y) (- 1.0 y))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(* (* x y) (- 1.0 y))

simplify3.4s

Counts
49 → 49
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0110883
1274712
2834570
33358528
done5000402

prune81.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
41.0ms
(* (- 1.0 y) (* x y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* (- 1.0 y) (* x y))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 3 (606.0ms)

IterNodesCost
055274
1144269
2499229
32080217
done5000217

prune85.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.4b
(cbrt (* (* x y) (- 1.0 y)))
10.4b
(cbrt (* (* x y) (- 1.0 y)))
10.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
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 associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
62.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
29.0ms
(cbrt (* (* x y) (- 1.0 y)))
31.0ms
(cbrt (* (* x y) (- 1.0 y)))
32.0ms
(cbrt (* (* x y) (- 1.0 y)))

series714.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
171.0ms
(cbrt (* (* x y) (- 1.0 y)))
149.0ms
(cbrt (* (* x y) (- 1.0 y)))
180.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.4s

Counts
92 → 92
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01712079
14201907
211601747
335081429
done50011359

prune361.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x y)) (cbrt (* x y)))
10.4b
(cbrt (* (* x y) (- 1.0 y)))
10.4b
(cbrt (* x y))
10.4b
(cbrt (* x y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
25.0ms
(* (cbrt (* x y)) (cbrt (* x y)))
29.0ms
(cbrt (* (* x y) (- 1.0 y)))
6.0ms
(cbrt (* x y))
7.0ms
(cbrt (* x y))

series482.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (* x y)) (cbrt (* x y)))
182.0ms
(cbrt (* (* x y) (- 1.0 y)))
84.0ms
(cbrt (* x y))
81.0ms
(cbrt (* x y))

simplify2.2s

Counts
80 → 80
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0152920
1371833
2961746
32563635
done5002565

prune362.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample664.0ms

Algorithm
intervals
Results
304.0ms10673×body80valid