Details

sample179.0ms

Algorithm

intervals

Results

84.0ms	96×	body	1280	valid
26.0ms	71×	body	640	valid
21.0ms	249×	body	80	valid
14.0ms	48×	body	320	valid
7.0ms	28×	body	160	valid

simplify7.0s

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	96	7
5	137	7
6	211	7
7	393	7
8	942	7
9	1761	7
10	2051	7
11	2171	7
done	2171	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(cosh x)
17.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series256.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(cosh x)
132.0ms	(* (cosh x) (/ (sin y) y))
48.0ms	(/ (sin y) y)

simplify2.8s

Counts

78 → 78

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	130	729
1	278	697
2	879	629
3	3106	629
done	5000	617

prune302.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`cosh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

3.0ms	(cosh x)
21.0ms	(* (cosh x) (sin y))
34.0ms	(/ (* (cosh x) (sin y)) y)

series299.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(cosh x)
95.0ms	(* (cosh x) (sin y))
125.0ms	(/ (* (cosh x) (sin y)) y)

simplify3.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	114	530
1	252	503
2	845	441
3	4129	429
done	5001	429

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
32×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`div-exp`
9×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `cosh-def`
6×	`associate-l/` `associate-/r/` `div-inv` `associate-/l`
5×	`prod-exp`
4×	`add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cosh x)
11.0ms	(* (cosh x) (sin y))
10.0ms	(/ y (* (cosh x) (sin y)))
34.0ms	(/ 1 (/ y (* (cosh x) (sin y))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cosh x)
105.0ms	(* (cosh x) (sin y))
184.0ms	(/ y (* (cosh x) (sin y)))
154.0ms	(/ 1 (/ y (* (cosh x) (sin y))))

simplify2.0s

Counts

121 → 121

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	194	1460
1	418	1281
2	1163	1109
done	5000	1083

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.2b	(/ 1 (* (cosh x) (sin y)))
0.3b	(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

230×	`times-frac`
101×	`add-sqr-sqrt`
100×	`add-exp-log`
99×	`add-cube-cbrt` `*-un-lft-identity`
62×	`div-exp`
32×	`add-cbrt-cube`
25×	`div-inv`
17×	`rec-exp` `cosh-def` `1-exp`
16×	`associate-l/` `prod-exp` `associate-/r/` `associate-/l`
15×	`cbrt-undiv`
9×	`pow1` `associate-/r*`
4×	`cbrt-unprod` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num`
1×	`*-commutative` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 227

Calls

4 calls:

1.0ms	(cosh x)
11.0ms	(* (cosh x) (sin y))
23.0ms	(/ 1 (* (cosh x) (sin y)))
49.0ms	(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cosh x)
119.0ms	(* (cosh x) (sin y))
125.0ms	(/ 1 (* (cosh x) (sin y)))
140.0ms	(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

simplify1.8s

Counts

239 → 239

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	374	4117
1	965	3286
2	2037	2812
done	5000	2740

prune387.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.9s	2940×	body	1280	valid
1.1s	2474×	body	640	valid
1.0s	8506×	body	80	valid
314.0ms	1218×	body	320	valid
189.0ms	631×	body	160	valid