Details

Time bar (total: 5.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms338×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473
done473

prune1.0ms

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 (- 1.0 (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
16.0ms
(* x (- 1.0 (* x y)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* x (- 1.0 (* x y)))

simplify87.0ms

Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35002113
done5002113

prune45.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
28.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series941.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (- 1.0 (* x y)))
236.0ms
(cbrt (- 1.0 (* x y)))
235.0ms
(cbrt (- 1.0 (* x y)))
227.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify46.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03541088
113681031
25001970
done5001970

prune280.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
95×cbrt-prod
68×add-sqr-sqrt
52×cbrt-div
34×add-cube-cbrt *-un-lft-identity
25×pow1
21×swap-sqr associate-*r* associate-*l*
19×flip3-- pow1/3 flip--
17×unswap-sqr
12×frac-times
10×add-exp-log
6×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
4×add-cbrt-cube add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 174
Calls
4 calls:
4.0ms
(cbrt (cbrt (- 1.0 (* x y))))
30.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
28.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
37.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))

series927.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (cbrt (- 1.0 (* x y))))
235.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
227.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
227.0ms
(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))

simplify65.0ms

Counts
186 → 186
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05242266
120762141
250021995
done50021995

prune609.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
0.4b
(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) 4)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
68×cbrt-prod
44×add-sqr-sqrt
30×cbrt-div
28×add-cube-cbrt *-un-lft-identity
19×pow1
14×pow1/3
13×flip3-- flip--
12×unpow-prod-down swap-sqr associate-*r* associate-*l*
9×add-exp-log
8×frac-times unswap-sqr
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×pow-unpow
2×pow2 pow-pow pow-plus prod-exp *-commutative cbrt-unprod
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 142
Calls
4 calls:
28.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
30.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
4.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
10.0ms
(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) 4)

series1.1s

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
231.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
233.0ms
(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
418.0ms
(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) 4)

simplify65.0ms

Counts
154 → 154
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05441788
121301683
250011590
done50011590

prune623.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

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
083
183
done83

end0.0ms

sample390.0ms

Algorithm
intervals
Results
177.0ms10580×body80valid