Details

Time bar (total: 10.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms329×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41017
51087
61127
done1127

prune2.0ms

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))

rewrite38.0ms

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:
36.0ms
(* (* x y) (- 1.0 y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* x y) (- 1.0 y))

simplify2.6s

Counts
49 → 49
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0110883
1274712
2834570
33358528
done5000402

prune59.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite62.0ms

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:
5.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
44.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- 1.0 y))
94.0ms
(cbrt (- 1.0 y))
94.0ms
(cbrt (- 1.0 y))
111.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.6s

Counts
121 → 121
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01521619
13301463
28481391
321271271
done50001242

prune336.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))
0.4b
(pow (cbrt (cbrt (- 1.0 y))) (+ 4 1))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
21×*-un-lft-identity
19×add-sqr-sqrt
11×add-cube-cbrt unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 81
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
16.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 4 1))

series459.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
91.0ms
(cbrt (- 1.0 y))
92.0ms
(cbrt (- 1.0 y))
187.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 4 1))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01721291
14161115
29571047
32484975
done5000947

prune357.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.7b
(* x (* y (- 1.0 y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
24.0ms
(* y (- 1.0 y))
40.0ms
(* x (* y (- 1.0 y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- 1.0 y))
44.0ms
(* x (* y (- 1.0 y)))

simplify2.3s

Counts
118 → 118
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01822193
13711695
28351349
334741223
done5000953

prune96.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes96.0ms

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

sample436.0ms

Algorithm
intervals
Results
192.0ms10617×body80valid