Details

sample64.0ms

Algorithm

intervals

Results

13.0ms	30×	body	1280	valid
12.0ms	169×	body	80	valid
12.0ms	20×	body	320	valid
7.0ms	25×	body	640	valid
2.0ms	12×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

14.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series102.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (/ (sin y) y))
40.0ms	(/ (sin y) y)

simplify613.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	98	571
1	232	549
2	985	501
done	5000	501

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.4b	(* (* x (sin y)) (/ 1 y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

12.0ms	(* x (sin y))
31.0ms	(* (* x (sin y)) (/ 1 y))

series134.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (sin y))
80.0ms	(* (* x (sin y)) (/ 1 y))

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	105	592
1	293	527
2	1852	408
done	5002	402

prune236.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (* (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y)))) (/ 1 y))
7.8b	(cbrt (* x (sin y)))
7.8b	(cbrt (* x (sin y)))
7.8b	(cbrt (* x (sin y)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
24×	`prod-exp`
17×	`add-cbrt-cube`
13×	`pow1` `associate-r`
12×	`cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`div-exp` `pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `rec-exp` `pow1/3` `1-exp`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

181.0ms	(* (* (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y)))) (/ 1 y))
4.0ms	(cbrt (* x (sin y)))
5.0ms	(cbrt (* x (sin y)))
5.0ms	(cbrt (* x (sin y)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (* (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y)))) (/ 1 y))
181.0ms	(cbrt (* x (sin y)))
148.0ms	(cbrt (* x (sin y)))
164.0ms	(cbrt (* x (sin y)))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	129	1551
1	373	1427
2	2195	792
done	5000	622

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

8.5b	(* (/ x y) (sin y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

22.0ms

(* (/ x y) (sin y))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* (/ x y) (sin y))

simplify685.0ms

Counts

35 → 35

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	73	307
1	173	302
2	881	268
done	5001	268

prune101.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

777.0ms	926×	body	1280	valid
346.0ms	5186×	body	80	valid
278.0ms	1037×	body	640	valid
135.0ms	573×	body	320	valid
37.0ms	278×	body	160	valid