Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	38×	body	1280	valid
8.0ms	181×	body	80	valid
6.0ms	34×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	16×	body	160	valid

simplify46.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.5b	(/ (* 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:

22.0ms	(/ (sin y) y)
30.0ms	(* x (/ (sin y) y))
19.0ms	(/ (* x (/ (sin y) y)) z)

series225.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (sin y) y)
101.0ms	(* x (/ (sin y) y))
97.0ms	(/ (* x (/ (sin y) y)) z)

simplify4.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1025	782
3	4753	779
done	5001	779

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
2.5b	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
190.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series733.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (/ (sin y) y))
206.0ms	(cbrt (/ (sin y) y))
199.0ms	(cbrt (/ (sin y) y))
144.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify1.6s

Counts

118 → 118

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	160	1721
1	351	1672
2	1192	1226
done	5001	1112

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
2.7b	(* (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) (/ 1 z))

rewrite683.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
40×	`prod-exp`
39×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-cbrt-cube`
27×	`cbrt-div`
21×	`associate-*r/`
20×	`cbrt-unprod`
18×	`pow1`
17×	`frac-times` `associate-*l/`
13×	`associate-r`
10×	`pow-prod-down`
8×	`div-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `un-div-inv` `*-commutative`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
667.0ms	(* (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) (/ 1 z))

series760.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (/ (sin y) y))
210.0ms	(cbrt (/ (sin y) y))
203.0ms	(cbrt (/ (sin y) y))
146.0ms	(* (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) (/ 1 z))

simplify2.6s

Counts

152 → 152

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	230	2847
1	559	2607
2	1822	1765
done	5001	1553

prune575.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 81

Calls

2 calls:

12.0ms	(/ (sin y) y)
55.0ms	(* (/ (sin y) y) (/ x z))

series135.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (sin y) y)
101.0ms	(* (/ (sin y) y) (/ x z))

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	148	912
1	379	880
2	1259	782
done	5001	780

prune326.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes326.0ms

Accuracy

91.9% (0.2b remaining)

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

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	48
1	28	39
done	28	39

end0.0ms

sample1.6s

Algorithm

intervals

Results

410.0ms	1028×	body	1280	valid
367.0ms	5850×	body	80	valid
279.0ms	996×	body	640	valid
105.0ms	560×	body	320	valid
37.0ms	275×	body	160	valid