Details

sample88.0ms

Algorithm

intervals

Results

23.0ms	179×	body	80	valid
22.0ms	38×	body	1280	valid
13.0ms	34×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	9×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.0b	(* x (/ (/ (sin y) y) z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

22.0ms	(/ (/ (sin y) y) z)
12.0ms	(/ (sin y) y)
33.0ms	(* x (/ (/ (sin y) y) z))

series181.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (/ (sin y) y) z)
41.0ms	(/ (sin y) y)
98.0ms	(* x (/ (/ (sin y) y) z))

simplify1.3s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3314
1	666
0	248

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ (/ 1 (/ y (sin y))) z)
0.1b	(/ y (sin y))
2.0b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 470

Calls

4 calls:

10.0ms	(/ 1 (/ y (sin y)))
20.0ms	(/ (/ 1 (/ y (sin y))) z)
7.0ms	(/ y (sin y))
94.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series251.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (/ y (sin y)))
51.0ms	(/ (/ 1 (/ y (sin y))) z)
38.0ms	(/ y (sin y))
111.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify1.3s

Counts

482 → 482

Iterations

Iter	Nodes
done	5001
1	1857
0	645

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (/ 1 y) (sin y)) z)
0.3b	(* (/ 1 y) (sin y))
2.0b	(* x (/ (* (/ 1 y) (sin y)) z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`add-sqr-sqrt`
18×	`prod-exp`
17×	`*-un-lft-identity` `times-frac`
16×	`div-exp` `associate-l` `add-cube-cbrt`
10×	`associate-r` `cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow1`
4×	`unswap-sqr`
3×	`rec-exp` `associate-/r*` `1-exp` `div-inv` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`clear-num` `frac-2neg` `associate-r/` `associate-/l` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

13.0ms	(/ (* (/ 1 y) (sin y)) z)
21.0ms	(* (/ 1 y) (sin y))
49.0ms	(* x (/ (* (/ 1 y) (sin y)) z))

series174.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (* (/ 1 y) (sin y)) z)
42.0ms	(* (/ 1 y) (sin y))
92.0ms	(* x (/ (* (/ 1 y) (sin y)) z))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2844
1	445
0	166

prune474.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
4.1b	(* (/ x z) (/ (sin y) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ (sin y) y)
43.0ms	(* (/ x z) (/ (sin y) y))

series182.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (sin y) y)
129.0ms	(* (/ x z) (/ (sin y) y))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	2437
1	389
0	140

prune420.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

918.0ms	1031×	body	1280	valid
703.0ms	5803×	body	80	valid
407.0ms	1070×	body	640	valid
130.0ms	549×	body	320	valid
48.0ms	286×	body	160	valid