Details

Time bar (total: 16.6s)

sample31.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3667
4817
5887
done887

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
51.0ms
(* (* x y) (- 1.0 y))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* (* x y) (- 1.0 y))

simplify2.3s

Counts
29 → 29
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
060303
1165294
2649242
32733242
done5000242

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))

rewrite85.0ms

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×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 → 101
Calls
4 calls:
13.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
55.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series492.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- 1.0 y))
121.0ms
(cbrt (- 1.0 y))
112.0ms
(cbrt (- 1.0 y))
140.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01481569
13181431
27821360
318681241
done50011212

prune398.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (cbrt (- 1.0 y)))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.3b
(pow (cbrt (cbrt (- 1.0 y))) 4)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
59×cbrt-prod
41×add-sqr-sqrt
39×*-un-lft-identity
19×add-cube-cbrt
18×cbrt-div
12×pow1
11×unpow-prod-down
10×swap-sqr
9×pow1/3 distribute-lft-out--
8×flip3-- associate-*r* associate-*l* flip--
7×add-exp-log difference-of-squares
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 115
Calls
4 calls:
8.0ms
(cbrt (- 1.0 y))
10.0ms
(cbrt (cbrt (- 1.0 y)))
57.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
21.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

series570.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- 1.0 y))
101.0ms
(cbrt (cbrt (- 1.0 y)))
160.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
191.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

simplify3.0s

Counts
127 → 127
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02711834
16051633
215161560
340911441
done50001393

prune669.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (pow (cbrt (cbrt (- 1.0 y))) 2))
0.3b
(pow (cbrt (cbrt (cbrt (- 1.0 y)))) 4)
0.3b
(pow (cbrt (pow (cbrt (cbrt (- 1.0 y))) 2)) 4)

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
110×cbrt-prod
55×unpow-prod-down
49×add-sqr-sqrt
47×*-un-lft-identity
27×add-cube-cbrt
13×pow1
12×cbrt-div
10×swap-sqr
9×pow1/3 distribute-lft-out--
8×add-exp-log associate-*r* associate-*l*
7×difference-of-squares
6×pow-unpow flip3-- flip--
4×frac-times pow-pow add-cbrt-cube add-log-exp unswap-sqr sqr-pow
2×pow-to-exp associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr pow-prod-up unpow2
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 143
Calls
4 calls:
69.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
13.0ms
(cbrt (pow (cbrt (cbrt (- 1.0 y))) 2))
26.0ms
(pow (cbrt (cbrt (cbrt (- 1.0 y)))) 4)
54.0ms
(pow (cbrt (pow (cbrt (cbrt (- 1.0 y))) 2)) 4)

series728.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
136.0ms
(cbrt (pow (cbrt (cbrt (- 1.0 y))) 2))
188.0ms
(pow (cbrt (cbrt (cbrt (- 1.0 y)))) 4)
251.0ms
(pow (cbrt (pow (cbrt (cbrt (- 1.0 y))) 2)) 4)

simplify3.5s

Counts
155 → 155
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03432567
17542272
217242139
343982054
done50012037

prune1.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes133.0ms

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

sample1.3s

Algorithm
intervals
Results
825.0ms10796×body80valid