Details

sample144.0ms

Algorithm

intervals

Results

51.0ms	98×	body	1280	valid
26.0ms	71×	body	640	valid
23.0ms	286×	body	80	valid
13.0ms	53×	body	320	valid
5.0ms	27×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

17.0ms	(* (cosh x) (/ (sin y) y))
10.0ms	(/ (sin y) y)

series116.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (cosh x) (/ (sin y) y))
33.0ms	(/ (sin y) y)

simplify2.7s

Counts

71 → 71

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	868	592
3	3123	590
done	5000	578

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `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 → 184

Calls

3 calls:

43.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
22.0ms	(/ 1 (/ y (sin y)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify3.6s

Counts

193 → 193

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	265	2378
1	592	1894
2	1437	1643
3	4623	1611
done	5000	1611

prune533.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

147.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
33.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
23.0ms	(/ 1 (sin y))
55.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.2s

Counts

494 → 494

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	630	8599
1	1640	5988
2	3186	5095
done	5002	5013

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

19.0ms	(* (cosh x) (sin y))
70.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series227.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (cosh x) (sin y))
115.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify3.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	144	785
1	347	651
2	1082	547
3	3998	545
done	5001	545

prune177.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.3s	2891×	body	1280	valid
1.2s	8545×	body	80	valid
1.2s	2495×	body	640	valid
450.0ms	1207×	body	320	valid
104.0ms	621×	body	160	valid