Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

337×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	16	7
3	20	7
4	21	7
done	21	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

18.0ms	(- (* x x) 3.0)
43.0ms	(/ (- (* x x) 3.0) 6.0)

series225.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(- (* x x) 3.0)
136.0ms	(/ (- (* x x) 3.0) 6.0)

simplify4.4s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	89	587
1	221	571
2	764	521
3	4477	519
done	5001	519

prune302.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 0.16666666666666666 (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

26.0ms

(* 0.16666666666666666 (pow x 2))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* 0.16666666666666666 (pow x 2))

simplify4.0s

Counts

30 → 30

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (pow x 2))
0.4b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

34.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
54.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
129.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify1.1s

Counts

62 → 62

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	74	651
1	181	576
2	976	443
done	5000	429

prune271.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt 3.0))
0.0b	(- x (sqrt 3.0))
0.1b	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b	(/ 6.0 (- x (sqrt 3.0)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
182×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
26×	`distribute-lft-out`
20×	`sqrt-prod` `distribute-lft-out--`
13×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 209

Calls

4 calls:

15.0ms	(+ x (sqrt 3.0))
12.0ms	(- x (sqrt 3.0))
64.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
31.0ms	(/ 6.0 (- x (sqrt 3.0)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ x (sqrt 3.0))
80.0ms	(- x (sqrt 3.0))
310.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
104.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify2.4s

Counts

221 → 221

Iterations

Useful iterations: 2 (800.0ms)

Iter	Nodes	Cost
0	253	4092
1	664	3842
2	3894	3618
done	5001	3618

prune914.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample831.0ms

Algorithm

intervals

Results

434.0ms

10764×

body

valid