Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	35×	body	1280	valid
12.0ms	170×	body	80	valid
11.0ms	35×	body	640	valid
5.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.7b	(/ (* x (/ (sin y) y)) z)

rewrite77.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

20.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
29.0ms	(/ (* x (/ (sin y) y)) z)

series271.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* x (/ (sin y) y))
51.0ms	(/ (sin y) y)
110.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.8s

Counts

98 → 98

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune331.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
1.7b	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
44×	`add-cbrt-cube`
29×	`prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
214.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

series614.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (sin y))
167.0ms	(cbrt (sin y))
158.0ms	(cbrt (sin y))
141.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	187	1917
1	530	1838
2	2777	949
done	5002	688

prune302.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.8b	(/ 1 (/ (/ z x) (/ (sin y) y)))
3.2b	(/ (/ z x) (/ (sin y) y))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

2564×	`times-frac`
1114×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
190×	`associate-/r*`
139×	`div-inv`
61×	`add-exp-log`
43×	`div-exp`
35×	`add-cbrt-cube`
22×	`cbrt-undiv`
19×	`associate-/l*`
6×	`associate-/r/`
5×	`rec-exp` `1-exp`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 980

Calls

3 calls:

13.0ms	(/ (sin y) y)
107.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
39.0ms	(/ (/ z x) (/ (sin y) y))

series244.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (sin y) y)
83.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
122.0ms	(/ (/ z x) (/ (sin y) y))

simplify4.2s

Counts

989 → 989

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	1455	23170
1	3483	20135
done	5000	19113

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ 1 (/ (sin y) y))
0.7b	(/ 1 (/ z x))
3.2b	(/ (/ 1 (/ z x)) (/ 1 (/ (sin y) y)))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

8035×	`times-frac`
3246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
372×	`div-inv`
196×	`add-exp-log`
162×	`div-exp`
93×	`associate-/r/`
73×	`associate-/r*`
53×	`associate-/l*`
52×	`add-cbrt-cube`
34×	`cbrt-undiv`
32×	`rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

4 → 2281

Calls

4 calls:

18.0ms	(/ (sin y) y)
28.0ms	(/ 1 (/ (sin y) y))
22.0ms	(/ 1 (/ z x))
131.0ms	(/ (/ 1 (/ z x)) (/ 1 (/ (sin y) y)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (sin y) y)
29.0ms	(/ 1 (/ (sin y) y))
17.0ms	(/ 1 (/ z x))
117.0ms	(/ (/ 1 (/ z x)) (/ 1 (/ (sin y) y)))

simplify2.0s

Counts

2293 → 2293

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	3698	71188
done	5000	65647

prune11.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

84.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch115.0ms

Steps

Iters	Range		Point
9	9.606461655226288e+44	2.344417539397085e+52	9.777982240122366e+44
8	-1.3895445609299136e+18	-3122934099202797.0	-6.854450886547255e+17

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	40
1	24	29
done	24	29

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5826×	body	80	valid
597.0ms	955×	body	1280	valid
482.0ms	1054×	body	640	valid
152.0ms	586×	body	320	valid
50.0ms	280×	body	160	valid