Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	231×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3
done	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

24.0ms

(+ x (/ (- x y) 2.0))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(+ x (/ (- x y) 2.0))

simplify102.0ms

Counts

21 → 21

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80
done	5001	80

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite20.0ms

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:

14.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series842.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt x) (cbrt x))
205.0ms	(cbrt x)
201.0ms	(cbrt x)
201.0ms	(cbrt x)

simplify107.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune269.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt (* (cbrt x) (cbrt x)))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (* (cbrt x) (cbrt x)))
313.0ms	(cbrt (* (cbrt x) (cbrt x)))
280.0ms	(cbrt (cbrt x))
287.0ms	(cbrt (cbrt x))

simplify95.0ms

Counts

66 → 66

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	92	306
1	184	278
2	553	270
3	1965	270
4	5002	264
done	5002	264

prune278.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 103

Calls

4 calls:

161.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
22.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.9s

Counts

4 → 12

Calls

4 calls:

452.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
487.0ms	(cbrt (+ x (/ (- x y) 2.0)))
472.0ms	(cbrt (+ x (/ (- x y) 2.0)))
478.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify80.0ms

Counts

115 → 115

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	270	1159
1	775	1094
2	2723	1004
3	5002	981
done	5002	981

prune289.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes86.0ms

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	7	3
1	7	3
done	7	3

end0.0ms

sample344.0ms

Algorithm

intervals

Results

129.0ms	7342×	body	80	valid
17.0ms	250×	body	1280	valid
10.0ms	111×	body	2560	valid
9.0ms	154×	body	640	valid
8.0ms	87×	body	320	valid
2.0ms	60×	body	160	valid