Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
11.0ms	181×	body	80	valid
10.0ms	35×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify103.0ms

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: 1.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.4b	(/ (* x (/ (sin y) y)) z)

rewrite53.0ms

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:

9.0ms	(/ (sin y) y)
27.0ms	(* x (/ (sin y) y))
14.0ms	(/ (* x (/ (sin y) y)) z)

series232.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (sin y) y)
78.0ms	(* x (/ (sin y) y))
112.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.5s

Counts

92 → 92

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1015	741
3	4711	741
done	5001	741

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
3.7b	(/ x (* z (/ y (sin y))))

rewrite66.0ms

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:

31.0ms	(* z (/ y (sin y)))
12.0ms	(/ y (sin y))
18.0ms	(/ x (* z (/ y (sin y))))

series260.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(* z (/ y (sin y)))
26.0ms	(/ y (sin y))
132.0ms	(/ x (* z (/ y (sin y))))

simplify3.3s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	139	893
1	307	861
2	950	745
3	4334	743
done	5001	743

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* z (/ 1 (/ (sin y) y)))
0.2b	(/ 1 (/ (sin y) y))
3.7b	(/ x (* z (/ 1 (/ (sin y) y))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
17×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
9×	`associate-/l*`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

15.0ms	(/ (sin y) y)
39.0ms	(* z (/ 1 (/ (sin y) y)))
13.0ms	(/ 1 (/ (sin y) y))
30.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (sin y) y)
111.0ms	(* z (/ 1 (/ (sin y) y)))
29.0ms	(/ 1 (/ (sin y) y))
122.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

simplify2.3s

Counts

219 → 219

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	285	2685
1	646	2136
2	1475	1807
done	5000	1787

prune591.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(/ 1 (/ (sin y) y))
2.7b	(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`times-frac`
858×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
108×	`div-inv`
61×	`add-exp-log`
60×	`associate-/r*`
43×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv` `associate-/l*`
16×	`associate-/r/`
6×	`rec-exp` `1-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 764

Calls

3 calls:

18.0ms	(/ (sin y) y)
20.0ms	(/ 1 (/ (sin y) y))
49.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (sin y) y)
33.0ms	(/ 1 (/ (sin y) y))
140.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify1.8s

Counts

773 → 773

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1288	18997
1	3559	14835
done	5000	13979

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes263.0ms

Accuracy

73.3% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.8b

bsearch103.0ms

Steps

Iters	Range		Point
8	2.2224675829991397e-158	1.6804866158686344e-155	1.6630389273218114e-155
9	-9.466489429598327e+36	-2.8897456288171165e+31	-1.409336902048905e+32

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	23	36
done	23	36

end0.0ms

sample2.3s

Algorithm

intervals

Results

939.0ms	5793×	body	80	valid
507.0ms	1014×	body	1280	valid
284.0ms	1016×	body	640	valid
146.0ms	569×	body	320	valid
44.0ms	322×	body	160	valid