Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

364×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	11	123
2	16	123
3	20	123
4	21	123
done	21	123

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/l*` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

16.0ms

(/ (- (* x x) 3.0) 6.0)

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(/ (- (* x x) 3.0) 6.0)

simplify1.8s

Counts

37 → 37

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	78	9456
1	177	8589
2	445	8509
3	1520	8509
done	5001	8509

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x x) 0.16666666666666666)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`associate-l` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

28.0ms

(* (* x x) 0.16666666666666666)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (* x x) 0.16666666666666666)

simplify1.9s

Counts

22 → 22

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	37	3537
1	102	2803
2	334	2643
3	1296	2643
done	5003	2643

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

7.0ms	(* x (sqrt 0.16666666666666666))
7.0ms	(* x (sqrt 0.16666666666666666))
46.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (sqrt 0.16666666666666666))
59.0ms	(* x (sqrt 0.16666666666666666))
123.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify4.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	60	13921
1	141	10440
2	486	10440
3	2358	9800
done	5001	9800

prune234.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(+ (sqrt 3.0) x)
0.7b	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
37×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-prod` `distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`associate-l`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 115

Calls

4 calls:

10.0ms	(- x (sqrt 3.0))
23.0ms	(/ (- x (sqrt 3.0)) 6.0)
9.0ms	(+ (sqrt 3.0) x)
76.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series420.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (sqrt 3.0))
113.0ms	(/ (- x (sqrt 3.0)) 6.0)
46.0ms	(+ (sqrt 3.0) x)
202.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify3.9s

Counts

127 → 127

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	146	34328
1	375	29029
2	1195	28385
3	4450	28225
done	5001	28225

prune413.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	8	163
done	8	163

end0.0ms

sample573.0ms

Algorithm

intervals

Results

405.0ms

10708×

body

valid