Details

sample110.0ms

Algorithm

intervals

Results

33.0ms	72×	body	1280	valid
24.0ms	335×	body	80	valid
18.0ms	59×	body	640	valid
9.0ms	38×	body	320	valid
2.0ms	14×	body	160	valid

simplify2.6s

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: 13.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.8b	(/ (* (sin x) (sinh y)) x)

rewrite30.0ms

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:

1.0ms	(sinh y)
12.0ms	(* (sin x) (sinh y))
15.0ms	(/ (* (sin x) (sinh y)) x)

series352.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(sinh y)
123.0ms	(* (sin x) (sinh y))
128.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

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

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

1.0ms	(sinh y)
12.0ms	(/ (sinh y) x)
18.0ms	(* (sin x) (/ (sinh y) x))

series316.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
107.0ms	(/ (sinh y) x)
129.0ms	(* (sin x) (/ (sinh y) x))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	770
1	357	731
2	1676	662
done	5000	655

prune353.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (* (sinh y) (/ 1 x)))
0.3b	(* (sinh y) (/ 1 x))

rewrite77.0ms

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:

3.0ms	(sinh y)
45.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
24.0ms	(* (sinh y) (/ 1 x))

series331.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
132.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
112.0ms	(* (sinh y) (/ 1 x))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	165	894
1	425	717
2	1853	608
done	5000	597

prune324.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.3b	(/ (sin x) (/ x (sinh y)))

rewrite41.0ms

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:

3.0ms	(sinh y)
11.0ms	(/ x (sinh y))
20.0ms	(/ (sin x) (/ x (sinh y)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
193.0ms	(/ x (sinh y))
153.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	221	1576
1	554	1501
2	2759	1415
done	5000	1413

prune574.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	7
2	13	7
done	13	7

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	10258×	body	80	valid
1.0s	1848×	body	1280	valid
760.0ms	2017×	body	640	valid
312.0ms	1051×	body	320	valid
138.0ms	556×	body	160	valid