Details

sample122.0ms

Algorithm

intervals

Results

44.0ms	83×	body	1280	valid
25.0ms	75×	body	640	valid
19.0ms	246×	body	80	valid
9.0ms	39×	body	320	valid
3.0ms	20×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	763
5	187
4	100
3	56
2	28
1	15
0	6

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

16.0ms	(* (sin y) (cosh x))
20.0ms	(/ (* (sin y) (cosh x)) y)

series241.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (sin y) (cosh x))
118.0ms	(/ (* (sin y) (cosh x)) y)

simplify773.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5002
2	1468
1	258
0	108

prune235.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`cosh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

10.0ms	(/ (cosh x) y)
29.0ms	(* (sin y) (/ (cosh x) y))

series216.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (cosh x) y)
147.0ms	(* (sin y) (/ (cosh x) y))

simplify944.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1508
1	301
0	131

prune446.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (cosh x))
0.1b	(/ (/ y (cosh x)) (sin y))
0.3b	(/ 1 (/ (/ y (cosh x)) (sin y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

501×	`times-frac`
245×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
52×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
20×	`associate-/l*`
19×	`add-cbrt-cube` `div-exp`
18×	`associate-/r/`
17×	`cosh-def`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 320

Calls

3 calls:

4.0ms	(/ y (cosh x))
13.0ms	(/ (/ y (cosh x)) (sin y))
24.0ms	(/ 1 (/ (/ y (cosh x)) (sin y)))

series447.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ y (cosh x))
200.0ms	(/ (/ y (cosh x)) (sin y))
121.0ms	(/ 1 (/ (/ y (cosh x)) (sin y)))

simplify1.1s

Counts

329 → 329

Iterations

Iter	Nodes
done	5000
1	1417
0	499

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin y) (cosh x))
0.1b	(expm1 (* (sin y) (cosh x)))
0.1b	(/ (log1p (expm1 (* (sin y) (cosh x)))) y)
0.1b	(log1p (expm1 (* (sin y) (cosh x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

14.0ms	(* (sin y) (cosh x))
1.0ms	(expm1 (* (sin y) (cosh x)))
6.0ms	(/ (log1p (expm1 (* (sin y) (cosh x)))) y)
0.0ms	(log1p (expm1 (* (sin y) (cosh x))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sin y) (cosh x))
132.0ms	(expm1 (* (sin y) (cosh x)))
174.0ms	(/ (log1p (expm1 (* (sin y) (cosh x)))) y)
150.0ms	(log1p (expm1 (* (sin y) (cosh x))))

simplify657.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1169
1	295
0	140

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	2991×	body	1280	valid
1.1s	8595×	body	80	valid
972.0ms	2562×	body	640	valid
260.0ms	1234×	body	320	valid
136.0ms	679×	body	160	valid