Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

343×

body

valid

simplify87.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	66	7
4	81	7
5	88	7
done	88	7

prune2.0ms

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 y) (- 1.0 y))

rewrite61.0ms

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:

60.0ms

(* (* x y) (- 1.0 y))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* (* x y) (- 1.0 y))

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	60	303
1	165	294
2	649	242
3	2733	242
done	5000	242

prune98.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

63.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
19.0ms	(cbrt (* (* x y) (- 1.0 y)))
20.0ms	(cbrt (* (* x y) (- 1.0 y)))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
159.0ms	(cbrt (* (* x y) (- 1.0 y)))
154.0ms	(cbrt (* (* x y) (- 1.0 y)))
204.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	167	1989
1	401	1858
2	1076	1693
3	3200	1362
done	5001	1296

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* x y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

45.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
41.0ms	(cbrt (* (* x y) (- 1.0 y)))
34.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* x y))

series753.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
188.0ms	(cbrt (* (* x y) (- 1.0 y)))
202.0ms	(cbrt (* (* x y) (- 1.0 y)))
97.0ms	(cbrt (* x y))

simplify2.2s

Counts

82 → 82

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	184	1753
1	442	1628
2	1170	1483
3	3423	1202
done	5000	1143

prune293.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* x y))
10.4b	(cbrt (* x y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
14×	`cbrt-div`
9×	`pow1` `add-exp-log`
7×	`flip3--` `flip--`
6×	`pow1/3`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-cbrt-cube`
4×	`cbrt-prod` `frac-times` `associate-l` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

87.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
3.0ms	(cbrt (* x y))
3.0ms	(cbrt (* x y))

series634.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
244.0ms	(cbrt (* (* x y) (- 1.0 y)))
86.0ms	(cbrt (* x y))
82.0ms	(cbrt (* x y))

simplify3.0s

Counts

69 → 69

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	189	1312
1	490	1289
2	1293	1168
3	4077	1023
done	5000	977

prune295.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample610.0ms

Algorithm

intervals

Results

367.0ms

10573×

body

valid