Details

sample63.0ms

Algorithm

intervals

Results

15.0ms	179×	body	80	valid
14.0ms	26×	body	1280	valid
9.0ms	25×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	13×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

26.0ms	(* (/ (sin y) y) x)
14.0ms	(/ (sin y) y)

series134.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (/ (sin y) y) x)
52.0ms	(/ (sin y) y)

simplify853.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1128
1	234
0	100

prune304.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 175

Calls

3 calls:

4.0ms	(/ y (sin y))
31.0ms	(* (/ 1 (/ y (sin y))) x)
16.0ms	(/ 1 (/ y (sin y)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (sin y))
56.0ms	(* (/ 1 (/ y (sin y))) x)
49.0ms	(/ 1 (/ y (sin y)))

simplify1.4s

Counts

184 → 184

Iterations

Iter	Nodes
done	5000
2	3461
1	652
0	237

prune762.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 97

Calls

2 calls:

17.0ms	(/ x (/ y (sin y)))
9.0ms	(/ y (sin y))

series144.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ x (/ y (sin y)))
56.0ms	(/ y (sin y))

simplify987.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1953
1	422
0	171

prune490.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-l`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-r` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 477

Calls

3 calls:

87.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
5.0ms	(/ 1 (sin y))
30.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
25.0ms	(/ 1 (sin y))
64.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.0s

Counts

486 → 486

Iterations

Iter	Nodes
done	5000
1	2004
0	581

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

653.0ms	974×	body	640	valid
645.0ms	926×	body	1280	valid
454.0ms	5229×	body	80	valid
121.0ms	541×	body	320	valid
48.0ms	330×	body	160	valid