Details

sample121.0ms

Algorithm

intervals

Results

53.0ms	89×	body	1280	valid
20.0ms	83×	body	640	valid
16.0ms	281×	body	80	valid
8.0ms	43×	body	320	valid
3.0ms	19×	body	160	valid

simplify1.0s

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	100	7
5	187	7
6	761	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

10.0ms	(/ (sin y) y)
20.0ms	(* (cosh x) (/ (sin y) y))

series127.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (sin y) y)
95.0ms	(* (cosh x) (/ (sin y) y))

simplify823.0ms

Counts

71 → 71

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	124	689
1	281	656
2	1205	598
done	5000	596

prune269.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

13.0ms	(/ (sin y) y)
32.0ms	(* (cosh x) (* 1 (/ (sin y) y)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (sin y) y)
95.0ms	(* (cosh x) (* 1 (/ (sin y) y)))

simplify997.0ms

Counts

62 → 62

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	130	659
1	302	568
2	1539	496
done	5000	490

prune206.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
0.3b	(* (cosh x) (* 1 (/ 1 (/ y (sin y)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
63×	`add-exp-log`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`prod-exp`
24×	`add-cbrt-cube`
22×	`div-exp`
16×	`associate-/r*`
13×	`1-exp`
9×	`pow1`
7×	`cbrt-undiv` `cbrt-unprod`
6×	`rec-exp` `div-inv` `associate-/l*`
4×	`associate-*r/` `un-div-inv`
3×	`expm1-log1p-u` `cosh-def` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `frac-2neg` `clear-num`
1×	`pow-flip` `associate-r` `associate-l/` `associate-/r/` `-commutative` `inv-pow`

Counts

3 → 148

Calls

3 calls:

6.0ms	(/ y (sin y))
22.0ms	(/ 1 (/ y (sin y)))
67.0ms	(* (cosh x) (* 1 (/ 1 (/ y (sin y)))))

series205.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ y (sin y))
39.0ms	(/ 1 (/ y (sin y)))
126.0ms	(* (cosh x) (* 1 (/ 1 (/ y (sin y)))))

simplify2.4s

Counts

157 → 157

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	251	1958
1	655	1597
2	3766	1407
done	5000	1397

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.7b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite74.0ms

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:

21.0ms	(* (cosh x) (sin y))
50.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series162.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (cosh x) (sin y))
82.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify2.1s

Counts

69 → 69

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	144	785
1	391	703
2	2308	559
done	5000	557

prune165.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes129.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	13	9
2	14	9
done	14	9

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	2964×	body	1280	valid
834.0ms	8498×	body	80	valid
810.0ms	2490×	body	640	valid
294.0ms	1202×	body	320	valid
101.0ms	643×	body	160	valid