Details

Time bar (total: 8.4s)

sample14.0ms

Algorithm
intervals
Results
5.0ms329×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3667
4817
5887
done887

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
28.0ms
(* (* x y) (- 1.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

simplify1.7s

Counts
29 → 29
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
060303
1165294
2649242
32733242
done5000242

prune45.0ms

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)))

rewrite53.0ms

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:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
36.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
87.0ms
(cbrt (- 1.0 y))
104.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01481569
13181431
27821360
318681241
done50011212

prune299.0ms

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))

rewrite28.0ms

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×pow-unpow pow1/3 add-cbrt-cube 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 → 73
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
14.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 4 1))

series456.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
186.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 4 1))

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01681241
14051081
28881016
32220940
done5000908

prune317.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
20.0ms
(* (- 1.0 y) y)
33.0ms
(* x (* (- 1.0 y) y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- 1.0 y) y)
45.0ms
(* x (* (- 1.0 y) y))

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (749.0ms)

IterNodesCost
073433
1174423
2611359
32662347
done5000347

prune80.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

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

sample394.0ms

Algorithm
intervals
Results
182.0ms10617×body80valid