Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

343×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	43	7
4	55	7
done	55	7

prune2.0ms

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 (- 1.0 (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.4s

Counts

35 → 35

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	401	356
3	1387	347
done	5000	341

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite25.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
17.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series908.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- 1.0 (* x y)))
228.0ms	(cbrt (- 1.0 (* x y)))
226.0ms	(cbrt (- 1.0 (* x y)))
219.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify585.0ms

Counts

107 → 107

Iterations

Useful iterations: done (581.0ms)

Iter	Nodes	Cost
0	152	2108
1	371	1928
2	1223	1787
done	5000	1608

prune306.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series739.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x) (cbrt x))
187.0ms	(cbrt x)
178.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune204.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
0.2b	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
4.7b	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3--` `flip--`
36×	`frac-times` `associate-*r/`
18×	`associate-*l/`
16×	`pow1`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr`
2×	`sub-neg` `pow1/3` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

26.0ms	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
13.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
47.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))
226.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

simplify801.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	272	3779
1	661	3514
2	2326	3186
done	5000	3186

prune379.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes82.0ms

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

sample342.0ms

Algorithm

intervals

Results

181.0ms

10655×

body

valid