Details

sample105.0ms

Algorithm

intervals

Results

31.0ms	343×	body	80	valid
25.0ms	53×	body	1280	valid
17.0ms	57×	body	640	valid
6.0ms	30×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	296	7
6	884	7
7	4473	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
10.7b	(/ (* (sin x) (sinh y)) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
20.0ms	(* (sin x) (sinh y))
23.0ms	(/ (* (sin x) (sinh y)) x)

series339.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sinh y)
122.0ms	(* (sin x) (sinh y))
122.0ms	(/ (* (sin x) (sinh y)) x)

simplify922.0ms

Counts

64 → 64

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	123	572
1	302	546
2	1572	486
done	5002	481

prune172.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) x))

series272.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (sinh y) x)
62.0ms	(sinh y)
128.0ms	(* (sin x) (/ (sinh y) x))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	770
1	357	731
2	1682	662
done	5001	655

prune271.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (sin x) (* (sinh y) (/ 1 x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 78

Calls

3 calls:

2.0ms	(sinh y)
24.0ms	(* (sinh y) (/ 1 x))
44.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
124.0ms	(* (sinh y) (/ 1 x))
115.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify1.7s

Counts

87 → 87

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	165	894
1	425	717
2	2073	598
done	5001	597

prune586.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.3b	(/ (sin x) (/ x (sinh y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

6.0ms	(/ x (sinh y))
2.0ms	(sinh y)
15.0ms	(/ (sin x) (/ x (sinh y)))

series356.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/ x (sinh y))
81.0ms	(sinh y)
123.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	1576
1	552	1501
2	2730	1415
done	5000	1413

prune411.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1750×	body	1280	valid
906.0ms	10295×	body	80	valid
703.0ms	1906×	body	640	valid
222.0ms	1088×	body	320	valid
80.0ms	593×	body	160	valid