Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	24	7
3	39	7
4	46	7
5	52	7
6	57	7
7	59	7
done	59	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:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

3.0ms

(- x (* (/ 3.0 8.0) y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.5s

Counts

23 → 23

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	45	273
1	108	265
2	311	233
3	1184	229
4	4465	205
done	5000	205

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)

rewrite13.0ms

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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series737.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
186.0ms	(cbrt x)
175.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (344.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune225.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite26.0ms

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:

18.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
263.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify995.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (326.0ms)

Iter	Nodes	Cost
0	123	2058
1	245	1908
2	691	1770
3	2164	1585
done	5001	1585

prune295.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
467.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
268.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
271.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.6s

Counts

72 → 72

Iterations

Useful iterations: 4 (733.0ms)

Iter	Nodes	Cost
0	66	1048
1	142	1016
2	372	940
3	1163	900
4	3606	864
done	5000	864

prune238.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.0b 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	7	7
1	8	7
done	8	7

end0.0ms

sample299.0ms

Algorithm

intervals

Results

136.0ms	7399×	body	80	valid
17.0ms	224×	body	1280	valid
9.0ms	152×	body	640	valid
9.0ms	98×	body	2560	valid
4.0ms	91×	body	320	valid
1.0ms	36×	body	160	valid