Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize14.0ms

Local error

Found 1 expressions with local error:

14.9b

(cbrt (/ g (* 2 a)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

5.0ms

(cbrt (/ g (* 2 a)))

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(cbrt (/ g (* 2 a)))

simplify797.0ms

Counts

22 → 22

Iterations

Iter	Nodes
done	2000
5	2000
4	698
3	294
2	148
1	97
0	65

prune102.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b	(* (cbrt g) (cbrt (/ 1/2 a)))
0.6b	(cbrt g)
0.6b	(cbrt (/ 1/2 a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-exp-log`
4×	`pow1/3`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 83

Calls

3 calls:

10.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms	(cbrt g)
1.0ms	(cbrt (/ 1/2 a))

series657.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
224.0ms	(cbrt g)
322.0ms	(cbrt (/ 1/2 a))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
4	2000
3	1654
2	640
1	259
0	149

prune338.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
0.5b	(* (cbrt (/ 1 a)) (cbrt 1/2))
0.6b	(cbrt (/ 1 a))
0.6b	(cbrt g)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
42×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac` `associate-l`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `associate-r` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div`
2×	`associate-l/` `-commutative` `div-inv`
1×	`associate-*r/`

Counts

4 → 111

Calls

4 calls:

20.0ms	(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
9.0ms	(* (cbrt (/ 1 a)) (cbrt 1/2))
1.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series932.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
272.0ms	(* (cbrt (/ 1 a)) (cbrt 1/2))
228.0ms	(cbrt (/ 1 a))
270.0ms	(cbrt g)

simplify941.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	2011
3	2011
2	934
1	339
0	177

prune533.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2))))
0.6b	(cbrt g)
0.6b	(cbrt (* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2)))))
1.0b	(* (cbrt 1/2) (cbrt 1/2))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
23×	`cbrt-prod` `add-sqr-sqrt`
22×	`prod-exp`
20×	`pow1`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`associate-l` `cbrt-unprod`
8×	`pow1/3` `pow-prod-down`
7×	`associate-r`
6×	`swap-sqr`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `cbrt-div` `pow-plus`

Counts

4 → 106

Calls

4 calls:

67.0ms	(* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2))))
1.0ms	(cbrt g)
45.0ms	(cbrt (* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2)))))
9.0ms	(* (cbrt 1/2) (cbrt 1/2))

series723.0ms

Counts

4 → 10

Calls

4 calls:

137.0ms	(* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2))))
292.0ms	(cbrt g)
294.0ms	(cbrt (* (cbrt 1/2) (* (/ 1 a) (* (cbrt 1/2) (cbrt 1/2)))))
0.0ms	(* (cbrt 1/2) (cbrt 1/2))

simplify926.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	2038
3	2038
2	1083
1	333
0	151

prune362.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes251.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample733.0ms

Algorithm

intervals

Results

580.0ms

8000×

body

valid