Details

Time bar (total: 11.9s)

sample30.0ms

Algorithm
intervals
Results
11.0ms351×body80valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:
44.0ms
(* (* x y) (- 1.0 y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (* x y) (- 1.0 y))

simplify932.0ms

Counts
29 → 29
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
060303
1175294
21142254
done5000242

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

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:
87.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
9.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))

series671.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
164.0ms
(cbrt (- 1.0 y))
160.0ms
(cbrt (- 1.0 y))
166.0ms
(cbrt (- 1.0 y))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01481569
13421431
211651360
done50001320

prune757.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity
15×cbrt-prod
11×pow1 add-cube-cbrt
6×add-exp-log cbrt-div add-cbrt-cube
4×add-log-exp
3×flip3-- pow1/3 swap-sqr associate-*r* associate-*l* flip-- distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
13.0ms
(* (fabs (cbrt (- 1.0 y))) (fabs (cbrt (- 1.0 y))))
8.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))

series514.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (fabs (cbrt (- 1.0 y))) (fabs (cbrt (- 1.0 y))))
160.0ms
(cbrt (- 1.0 y))
162.0ms
(cbrt (- 1.0 y))
156.0ms
(cbrt (- 1.0 y))

simplify2.4s

Counts
82 → 82
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01121090
1274937
21429837
done5000810

prune646.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

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))
0.3b
(pow (sqrt (fabs (cbrt (- 1.0 y)))) 3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod
12×add-cube-cbrt
6×pow1 unpow-prod-down cbrt-div cube-prod sqrt-prod
5×add-exp-log add-cbrt-cube
4×add-log-exp
3×pow-unpow flip3-- pow-pow pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×cube-mult pow-to-exp sqrt-pow1 pow1/2 unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 77
Calls
4 calls:
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
7.0ms
(pow (sqrt (fabs (cbrt (- 1.0 y)))) 3)

series536.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- 1.0 y))
152.0ms
(cbrt (- 1.0 y))
151.0ms
(cbrt (- 1.0 y))
75.0ms
(pow (sqrt (fabs (cbrt (- 1.0 y)))) 3)

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01281143
13451013
21182934
done5001916

prune738.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes315.0ms

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

sample1.1s

Algorithm
intervals
Results
570.0ms10768×body80valid