Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	197×	body	80	valid
8.0ms	28×	body	1280	valid
5.0ms	30×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify545.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	139	893
1	332	857
2	1527	741
done	5001	741

prune196.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
1.5b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

12.0ms	(* x (* (sin y) (/ 1 y)))
8.0ms	(* (sin y) (/ 1 y))
13.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series153.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* x (* (sin y) (/ 1 y)))
26.0ms	(* (sin y) (/ 1 y))
69.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify855.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	158	1114
1	425	899
2	1899	693
done	5000	693

prune159.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* z (/ y (sin y)))
2.4b	(/ x (* z (/ y (sin y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

2.0ms	(/ y (sin y))
7.0ms	(* z (/ y (sin y)))
8.0ms	(/ x (* z (/ y (sin y))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ y (sin y))
63.0ms	(* z (/ y (sin y)))
79.0ms	(/ x (* z (/ y (sin y))))

simplify544.0ms

Counts

92 → 92

Iterations

Useful iterations: done (542.0ms)

Iter	Nodes	Cost
0	139	893
1	325	861
2	1528	745
done	5000	743

prune209.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
2.9b	(/ (/ x z) (/ y (sin y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
16×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 242

Calls

2 calls:

2.0ms	(/ y (sin y))
11.0ms	(/ (/ x z) (/ y (sin y)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ y (sin y))
83.0ms	(/ (/ x z) (/ y (sin y)))

simplify416.0ms

Counts

248 → 248

Iterations

Useful iterations: done (400.0ms)

Iter	Nodes	Cost
0	455	4717
1	1325	4410
done	5000	4394

prune644.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

92.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.6b

bsearch65.0ms

Steps

Iters	Range		Point
4	2.2017045375507158e-43	4.159874352537046e-43	4.055380935471197e-43
10	-226.73590116698318	-5.4793573196899966e-14	-9.303380453396632e-07

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	34
1	26	32
2	28	32
done	28	32

end0.0ms

sample1.1s

Algorithm

intervals

Results

279.0ms	993×	body	1280	valid
245.0ms	5900×	body	80	valid
201.0ms	1025×	body	640	valid
81.0ms	545×	body	320	valid
27.0ms	292×	body	160	valid