Details

sample174.0ms

Algorithm

intervals

Results

79.0ms	86×	body	1280	valid
36.0ms	86×	body	640	valid
24.0ms	284×	body	80	valid
13.0ms	52×	body	320	valid
3.0ms	16×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 77

Calls

3 calls:

7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) y))

series293.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (sinh y) y)
74.0ms	(sinh y)
111.0ms	(* (sin x) (/ (sinh y) y))

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
3	4085
2	1110
1	363
0	149

prune285.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))
0.0b	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
0.0b	(* (sin x) (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))))
0.0b	(* (/ (sinh y) y) (/ (sinh y) y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
58×	`add-sqr-sqrt` `add-cbrt-cube`
50×	`times-frac`
41×	`*-un-lft-identity` `add-cube-cbrt`
29×	`associate-l`
27×	`pow1`
23×	`prod-exp` `associate-*r/` `cbrt-unprod`
18×	`associate-r`
17×	`cbrt-undiv` `div-exp`
16×	`frac-times`
14×	`cbrt-div`
13×	`swap-sqr`
10×	`associate-*l/`
7×	`unswap-sqr`
6×	`pow-prod-up`
5×	`pow-prod-down` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow2` `pow-plus` `cube-unmult` `pow-sqr`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 180

Calls

4 calls:

68.0ms	(* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))
47.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
31.0ms	(* (sin x) (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))))
42.0ms	(* (/ (sinh y) y) (/ (sinh y) y))

series572.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))
135.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
151.0ms	(* (sin x) (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))))
111.0ms	(* (/ (sinh y) y) (/ (sinh y) y))

simplify2.0s

Counts

192 → 192

Iterations

Iter	Nodes
done	5002
2	2999
1	847
0	291

prune775.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

13.9b	(/ (* (sin x) (sinh y)) y)
13.9b	(/ (* (sin x) (sinh y)) y)
13.9b	(/ (* (sin x) (sinh y)) y)
21.3b	(cbrt (* (/ (* (sin x) (sinh y)) y) (* (/ (* (sin x) (sinh y)) y) (/ (* (sin x) (sinh y)) y))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `times-frac`
8×	`associate-*r/`
7×	`cbrt-div`
6×	`cbrt-undiv` `div-exp`
5×	`frac-times`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `clear-num` `frac-2neg` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l` `associate-/l/`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 95

Calls

4 calls:

14.0ms	(/ (* (sin x) (sinh y)) y)
20.0ms	(/ (* (sin x) (sinh y)) y)
30.0ms	(/ (* (sin x) (sinh y)) y)
123.0ms	(cbrt (* (/ (* (sin x) (sinh y)) y) (* (/ (* (sin x) (sinh y)) y) (/ (* (sin x) (sinh y)) y))))

series676.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (* (sin x) (sinh y)) y)
135.0ms	(/ (* (sin x) (sinh y)) y)
177.0ms	(/ (* (sin x) (sinh y)) y)
203.0ms	(cbrt (* (/ (* (sin x) (sinh y)) y) (* (/ (* (sin x) (sinh y)) y) (/ (* (sin x) (sinh y)) y))))

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1158
1	322
0	122

prune629.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ y (sin x))
0.2b	(/ 1 (/ (/ y (sin x)) (sinh y)))
0.2b	(/ (/ y (sin x)) (sinh y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/r*`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
10×	`cbrt-undiv`
6×	`sinh-def` `associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 322

Calls

4 calls:

3.0ms	(sinh y)
11.0ms	(/ y (sin x))
50.0ms	(/ 1 (/ (/ y (sin x)) (sinh y)))
24.0ms	(/ (/ y (sin x)) (sinh y))

series448.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sinh y)
59.0ms	(/ y (sin x))
129.0ms	(/ 1 (/ (/ y (sin x)) (sinh y)))
168.0ms	(/ (/ y (sin x)) (sinh y))

simplify2.4s

Counts

334 → 334

Iterations

Iter	Nodes
done	5004
2	3562
1	1302
0	499

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	2953×	body	1280	valid
1.2s	2372×	body	640	valid
944.0ms	8466×	body	80	valid
367.0ms	1193×	body	320	valid
120.0ms	661×	body	160	valid