Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	35×	body	1280	valid
17.0ms	170×	body	80	valid
15.0ms	35×	body	640	valid
7.0ms	22×	body	320	valid
2.0ms	10×	body	160	valid

simplify109.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize17.0ms

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)

rewrite68.0ms

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:

16.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
27.0ms	(/ (* x (/ (sin y) y)) z)

series218.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
103.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.7s

Counts

92 → 92

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune379.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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` `associate-*r/` `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 → 77

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
214.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

series564.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (sin y))
110.0ms	(cbrt (sin y))
141.0ms	(cbrt (sin y))
144.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	183	1843
1	525	1767
2	2812	902
done	5000	650

prune309.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.8b	(/ 1 (/ z (* x (/ (sin y) y))))
1.7b	(/ z (* x (/ (sin y) y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

28.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
38.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
11.0ms	(/ z (* x (/ (sin y) y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)
94.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
134.0ms	(/ z (* x (/ (sin y) y)))

simplify1.3s

Counts

159 → 159

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	220	1903
1	485	1720
2	1407	1461
done	5000	1435

prune415.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite223.0ms

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×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 974

Calls

3 calls:

16.0ms	(/ (sin y) y)
79.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
21.0ms	(/ (/ z x) (/ (sin y) y))

series312.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (sin y) y)
118.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
163.0ms	(/ (/ z x) (/ (sin y) y))

simplify4.3s

Counts

983 → 983

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	1449	23120
1	3475	20087
done	5001	19077

prune2.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes287.0ms

Accuracy

83.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	48
1	23	41
done	23	41

end0.0ms

sample2.4s

Algorithm

intervals

Results

520.0ms	5826×	body	80	valid
511.0ms	955×	body	1280	valid
506.0ms	586×	body	320	valid
495.0ms	1054×	body	640	valid
42.0ms	280×	body	160	valid