Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	17	9
3	19	9
4	21	9
5	22	9
done	22	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

16.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
25.0ms	(* (/ 841.0 108.0) x)

series69.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
23.0ms	(* (/ 841.0 108.0) x)

simplify754.0ms

Counts

50 → 50

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	97	463
1	246	443
2	1066	403
done	5001	401

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

19.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
19.0ms	(* 841.0 (/ x 108.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
21.0ms	(* 841.0 (/ x 108.0))

simplify696.0ms

Counts

50 → 50

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	99	479
1	267	451
2	954	409
done	5001	407

prune144.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
0.3b	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
0.7b	(* (/ (sqrt 841.0) 108.0) x)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-l`
38×	`add-exp-log` `add-sqr-sqrt` `times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
29×	`add-cbrt-cube`
19×	`sqrt-prod`
17×	`prod-exp`
12×	`cbrt-unprod`
10×	`pow1` `div-exp`
7×	`associate-*l/`
6×	`cbrt-undiv`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`1-exp` `frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 107

Calls

3 calls:

45.0ms	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
50.0ms	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
22.0ms	(* (/ (sqrt 841.0) 108.0) x)

series276.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
91.0ms	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
64.0ms	(* (/ (sqrt 841.0) 108.0) x)

simplify2.2s

Counts

116 → 116

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	187	1571
1	553	1274
2	3403	966
done	5001	924

prune342.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.6b	(* 0.009259259259259259 (* 841.0 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

28.0ms

(* 0.009259259259259259 (* 841.0 x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 0.009259259259259259 (* 841.0 x))

simplify2.4s

Counts

21 → 21

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	37	148
1	89	145
2	313	115
3	1304	115
done	5000	115

prune27.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample455.0ms

Algorithm

intervals

Results

297.0ms	8004×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid