Details

Time bar (total: 15.4s)

sample32.0ms

Algorithm
intervals
Results
16.0ms345×body80valid

simplify85.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (* x y) (- 1.0 y))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
060303
1165294
2649242
32733242
done5000242

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
46.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
20.0ms
(cbrt (* (* x y) (- 1.0 y)))
24.0ms
(cbrt (* (* x y) (- 1.0 y)))
19.0ms
(cbrt (* (* x y) (- 1.0 y)))

series861.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
197.0ms
(cbrt (* (* x y) (- 1.0 y)))
181.0ms
(cbrt (* (* x y) (- 1.0 y)))
240.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.4s

Counts
84 → 84
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01671989
14011858
210761693
332001362
done50011296

prune327.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
9.4b
(cbrt (* x y))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×cbrt-div
pow1 add-exp-log
flip3-- flip--
pow1/3
add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down add-cbrt-cube
cbrt-prod frac-times associate-*l* add-log-exp
prod-exp cbrt-unprod
associate-*l/
associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
109.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
7.0ms
(cbrt (* x y))
39.0ms
(cbrt (* (* x y) (- 1.0 y)))
34.0ms
(cbrt (* (* x y) (- 1.0 y)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
101.0ms
(cbrt (* x y))
192.0ms
(cbrt (* (* x y) (- 1.0 y)))
255.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.7s

Counts
71 → 71
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01891548
14891519
212931378
340821179
done50011125

prune388.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b
(cbrt (* x y))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt flip3-- *-un-lft-identity flip--
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
50.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
6.0ms
(cbrt (* x y))
34.0ms
(cbrt (* (* x y) (- 1.0 y)))
43.0ms
(cbrt (* (* x y) (- 1.0 y)))

series788.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
133.0ms
(cbrt (* x y))
186.0ms
(cbrt (* (* x y) (- 1.0 y)))
243.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.4s

Counts
82 → 82
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01841753
14421628
211691483
334221202
done50001143

prune346.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes100.0ms

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

sample859.0ms

Algorithm
intervals
Results
453.0ms10678×body80valid