Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
8.0ms	198×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify31.0ms

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: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify577.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	145	935
1	339	898
2	1543	782
done	5001	782

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
2.2b	(/ x (* z (/ y (sin y))))

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
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` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

8.0ms	(* z (/ y (sin y)))
2.0ms	(/ y (sin y))
5.0ms	(/ x (* z (/ y (sin y))))

series172.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* z (/ y (sin y)))
22.0ms	(/ y (sin y))
80.0ms	(/ x (* z (/ y (sin y))))

simplify576.0ms

Counts

98 → 98

Iterations

Useful iterations: done (574.0ms)

Iter	Nodes	Cost
0	145	935
1	333	901
2	1532	784
done	5000	782

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
2.0b	(/ (/ x z) (/ y (sin y)))

rewrite34.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 246

Calls

2 calls:

2.0ms	(/ y (sin y))
12.0ms	(/ (/ x z) (/ y (sin y)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ y (sin y))
76.0ms	(/ (/ x z) (/ y (sin y)))

simplify427.0ms

Counts

252 → 252

Iterations

Useful iterations: done (419.0ms)

Iter	Nodes	Cost
0	459	4745
1	1331	4436
done	5001	4420

prune691.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
2.0b	(* (/ x z) (/ 1 (/ y (sin y))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

176×	`times-frac`
128×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
95×	`add-cube-cbrt`
61×	`add-exp-log`
44×	`associate-r`
31×	`add-cbrt-cube`
29×	`div-exp`
16×	`associate-/r*`
14×	`prod-exp`
13×	`cbrt-undiv` `associate-l`
11×	`div-inv`
10×	`unswap-sqr`
6×	`pow1` `rec-exp` `1-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 209

Calls

3 calls:

2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
32.0ms	(* (/ x z) (/ 1 (/ y (sin y))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))
80.0ms	(* (/ x z) (/ 1 (/ y (sin y))))

simplify2.0s

Counts

218 → 218

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	296	2874
1	856	2469
2	3297	2000
done	5001	2000

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

48.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	19	29
done	19	29

end0.0ms

sample1.1s

Algorithm

intervals

Results

286.0ms	998×	body	1280	valid
255.0ms	5900×	body	80	valid
187.0ms	988×	body	640	valid
87.0ms	599×	body	320	valid
27.0ms	299×	body	160	valid