Details

sample127.0ms

Algorithm

intervals

Results

36.0ms	335×	body	80	valid
35.0ms	72×	body	1280	valid
19.0ms	59×	body	640	valid
9.0ms	38×	body	320	valid
2.0ms	14×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	144	7
5	281	7
6	847	7
7	4286	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize15.0ms

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)

rewrite59.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

3.0ms	(sinh y)
26.0ms	(* (sin x) (sinh y))
28.0ms	(/ (* (sin x) (sinh y)) x)

series384.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
133.0ms	(* (sin x) (sinh y))
172.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.0s

Counts

58 → 58

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	117	538
1	293	516
2	1599	448
done	5002	448

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

3.0ms	(sinh y)
10.0ms	(/ (sinh y) x)
19.0ms	(* (sin x) (/ (sinh y) x))

series341.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(sinh y)
98.0ms	(/ (sinh y) x)
148.0ms	(* (sin x) (/ (sinh y) x))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	140	738
1	342	703
2	1610	640
done	5000	633

prune208.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite69.0ms

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×	`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 → 72

Calls

3 calls:

2.0ms	(sinh y)
43.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
19.0ms	(* (sinh y) (/ 1 x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sinh y)
129.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
95.0ms	(* (sinh y) (/ 1 x))

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	159	854
1	412	689
2	1861	571
done	5001	569

prune253.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ x (sinh y))
18.0ms	(/ (sin x) (/ x (sinh y)))

series341.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
156.0ms	(/ x (sinh y))
121.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.1s

Counts

119 → 119

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	215	1544
1	535	1472
2	2664	1388
done	5000	1386

prune381.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample4.1s

Algorithm

intervals

Results

1.2s	1848×	body	1280	valid
1.2s	10258×	body	80	valid
803.0ms	2017×	body	640	valid
211.0ms	1051×	body	320	valid
108.0ms	556×	body	160	valid