Details

sample13.0ms

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

simplify22.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify84.0ms

Counts

21 → 21

Iterations

Useful iterations: 4 (82.0ms)

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

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

13.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series962.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt x) (cbrt x))
179.0ms	(cbrt x)
179.0ms	(cbrt x)
401.0ms	(cbrt x)

simplify96.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (91.0ms)

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

prune235.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite14.0ms

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:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (* (cbrt x) (cbrt x)))
286.0ms	(cbrt (* (cbrt x) (cbrt x)))
262.0ms	(cbrt (cbrt x))
244.0ms	(cbrt (cbrt x))

simplify86.0ms

Counts

66 → 66

Iterations

Useful iterations: 4 (82.0ms)

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

prune247.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite206.0ms

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:

147.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
17.0ms	(cbrt (+ x (/ (- x y) 2.0)))
17.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts

4 → 12

Calls

4 calls:

413.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
435.0ms	(cbrt (+ x (/ (- x y) 2.0)))
427.0ms	(cbrt (+ x (/ (- x y) 2.0)))
430.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify72.0ms

Counts

115 → 115

Iterations

Useful iterations: 3 (62.0ms)

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

prune272.0ms

Pruning

7 alts after pruning (3 fresh and 4 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	7	3
1	7	3
done	7	3

end0.0ms

sample331.0ms

Algorithm

intervals

Results

126.0ms	7342×	body	80	valid
17.0ms	250×	body	1280	valid
9.0ms	111×	body	2560	valid
8.0ms	154×	body	640	valid
4.0ms	87×	body	320	valid
2.0ms	60×	body	160	valid