Details

sample159.0ms

Algorithm

intervals

Results

41.0ms	357×	body	80	valid
35.0ms	49×	body	1280	valid
28.0ms	57×	body	640	valid
10.0ms	25×	body	320	valid
4.0ms	15×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1834
6	655
5	258
4	130
3	62
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.5b	(/ (* (sin x) (sinh y)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

1.0ms	(sinh y)
11.0ms	(* (sin x) (sinh y))
24.0ms	(/ (* (sin x) (sinh y)) x)

series318.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(sinh y)
102.0ms	(* (sin x) (sinh y))
121.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1013
1	297
0	125

prune214.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite28.0ms

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:

2.0ms	(sinh y)
12.0ms	(/ (sinh y) x)
14.0ms	(* (sin x) (/ (sinh y) x))

series354.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(sinh y)
117.0ms	(/ (sinh y) x)
141.0ms	(* (sin x) (/ (sinh y) x))

simplify2.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3686
2	1058
1	362
0	149

prune384.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x)
0.0b	(fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y))
0.2b	(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x))
0.3b	(* y 1/6)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `fma-udef`

Counts

4 → 97

Calls

4 calls:

4.0ms	(/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x)
0.0ms	(fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y))
12.0ms	(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x))
6.0ms	(* y 1/6)

series434.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x)
70.0ms	(fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y))
242.0ms	(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* y y) (* y 1/6) y)) x))
20.0ms	(* y 1/6)

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	4462
2	1076
1	370
0	162

prune545.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/120 (/ (sin x) x))
0.1b	(/ (sin x) x)
0.1b	(/ (sin x) x)
0.1b	(/ (sin x) x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
9×	`associate-/r` `associate-/l`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 125

Calls

4 calls:

10.0ms	(* 1/120 (/ (sin x) x))
14.0ms	(/ (sin x) x)
8.0ms	(/ (sin x) x)
15.0ms	(/ (sin x) x)

series175.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 1/120 (/ (sin x) x))
38.0ms	(/ (sin x) x)
42.0ms	(/ (sin x) x)
35.0ms	(/ (sin x) x)

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
3	2510
2	763
1	235
0	105

prune815.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.1s	10387×	body	80	valid
1.3s	1750×	body	1280	valid
1.1s	1788×	body	640	valid
483.0ms	1130×	body	320	valid
148.0ms	628×	body	160	valid