Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	29×	body	1280	valid
18.0ms	195×	body	80	valid
12.0ms	33×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify73.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize49.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite75.0ms

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:

28.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
26.0ms	(/ (* x (/ (sin y) y)) z)

series271.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* x (/ (sin y) y))
44.0ms	(/ (sin y) y)
127.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	139	893
1	346	861
2	1728	759
done	5001	759

prune612.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
2.3b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

52.0ms	(* x (* (sin y) (/ 1 y)))
38.0ms	(* (sin y) (/ 1 y))
60.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series262.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* x (* (sin y) (/ 1 y)))
41.0ms	(* (sin y) (/ 1 y))
126.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify5.5s

Counts

98 → 98

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	158	1114
1	432	1028
2	3259	717
done	5000	705

prune531.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
2.3b	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

rewrite253.0ms

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`
13×	`add-cbrt-cube`
9×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

7.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
228.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

series938.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (/ (sin y) y))
252.0ms	(cbrt (/ (sin y) y))
254.0ms	(cbrt (/ (sin y) y))
177.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

simplify1.9s

Counts

110 → 110

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	157	1616
1	374	1570
2	1661	1216
done	5001	1102

prune963.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
3.0b	(/ x (/ z (/ (sin y) y)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

19.0ms	(/ z (/ (sin y) y))
28.0ms	(/ (sin y) y)
36.0ms	(/ x (/ z (/ (sin y) y)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ z (/ (sin y) y))
48.0ms	(/ (sin y) y)
150.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.3s

Counts

302 → 302

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	491	5137
1	1397	4859
done	5000	4603

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes581.0ms

Accuracy

91.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.1b

bsearch165.0ms

Steps

Iters	Range		Point
7	1.2447701448586216e-09	2.1029524275586133e-07	5.770377720520178e-08
9	-2.1513615898168565e+80	-1.7027429946796488e+74	-1.9452385372817372e+77

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	32
1	19	25
done	19	25

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	5918×	body	80	valid
686.0ms	1002×	body	1280	valid
509.0ms	993×	body	640	valid
222.0ms	518×	body	320	valid
65.0ms	306×	body	160	valid