Details

sample107.0ms

Algorithm

intervals

Results

24.0ms	49×	body	320	valid
22.0ms	51×	body	1280	valid
22.0ms	337×	body	80	valid
20.0ms	71×	body	640	valid
2.0ms	16×	body	160	valid

simplify2.2s

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: 14.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.9b	(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

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)
17.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series311.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
101.0ms	(* (sin x) (sinh y))
130.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1013
1	297
0	125

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite43.0ms

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:

13.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
25.0ms	(* (sin x) (/ (sinh y) x))

series312.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (sinh y) x)
87.0ms	(sinh y)
132.0ms	(* (sin x) (/ (sinh y) x))

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5005
3	3655
2	1059
1	362
0	149

prune627.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y y) y)
0.2b	(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
0.4b	(/ 1/6 x)
4.3b	(/ (pow y 5) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
30×	`times-frac`
25×	`pow1`
18×	`add-exp-log`
15×	`add-cbrt-cube`
12×	`unpow-prod-down`
10×	`associate-/l*`
6×	`associate-/r` `pow-plus` `associate-r*` `pow-prod-up`
4×	`expm1-log1p-u` `div-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-sqr` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow3` `pow-exp`

Counts

4 → 132

Calls

4 calls:

23.0ms	(* (* y y) y)
10.0ms	(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
4.0ms	(/ 1/6 x)
9.0ms	(/ (pow y 5) x)

series342.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* y y) y)
233.0ms	(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
18.0ms	(/ 1/6 x)
31.0ms	(/ (pow y 5) x)

simplify2.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
3	4973
2	1221
1	449
0	214

prune758.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (sin x))
0.2b	(/ (* 1/120 (sin x)) x)
0.2b	(* 1/120 (sin x))
14.0b	(/ x (* y (sin x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

14.0ms	(* y (sin x))
13.0ms	(/ (* 1/120 (sin x)) x)
14.0ms	(* 1/120 (sin x))
17.0ms	(/ x (* y (sin x)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (sin x))
59.0ms	(/ (* 1/120 (sin x)) x)
36.0ms	(* 1/120 (sin x))
51.0ms	(/ x (* y (sin x)))

simplify1.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1102
1	337
0	151

prune534.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1860×	body	640	valid
1.0s	1818×	body	1280	valid
1.0s	10255×	body	80	valid
363.0ms	1071×	body	320	valid
112.0ms	641×	body	160	valid