Details

sample60.0ms

Algorithm

intervals

Results

14.0ms	168×	body	80	valid
11.0ms	32×	body	640	valid
11.0ms	24×	body	1280	valid
5.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify73.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

37.0ms	(* x (/ (sin y) y))
21.0ms	(/ (sin y) y)

series220.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(* x (/ (sin y) y))
70.0ms	(/ (sin y) y)

simplify5.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	3210
2	757
1	234
0	104

prune644.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`div-exp` `pow-prod-down` `associate-*r/`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`div-inv`

Counts

2 → 66

Calls

2 calls:

82.0ms	(* x (* (sin y) (/ 1 y)))
62.0ms	(* (sin y) (/ 1 y))

series170.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* x (* (sin y) (/ 1 y)))
52.0ms	(* (sin y) (/ 1 y))

simplify5.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2702
2	912
1	299
0	119

prune652.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.2b	(/ y (sin y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

29.0ms	(/ x (/ y (sin y)))
21.0ms	(/ y (sin y))

series191.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(/ x (/ y (sin y)))
63.0ms	(/ y (sin y))

simplify6.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5022
3	4518
2	1209
1	426
0	177

prune984.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

86.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
10.0ms	(cbrt (/ y (sin y)))
16.0ms	(cbrt (/ y (sin y)))
7.0ms	(cbrt (/ y (sin y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

380.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
307.0ms	(cbrt (/ y (sin y)))
338.0ms	(cbrt (/ y (sin y)))
306.0ms	(cbrt (/ y (sin y)))

simplify8.6s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
4	4674
3	1565
2	682
1	324
0	175

prune2.1s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes912.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	934×	body	1280	valid
552.0ms	5132×	body	80	valid
540.0ms	1051×	body	640	valid
178.0ms	576×	body	320	valid
63.0ms	307×	body	160	valid