Details

sample104.0ms

Algorithm

intervals

Results

31.0ms	69×	body	1280	valid
22.0ms	329×	body	80	valid
18.0ms	58×	body	640	valid
8.0ms	37×	body	320	valid
3.0ms	20×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	62	197
4	128	197
5	247	197
6	620	197
7	1703	197
done	5000	197

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.8b	(/ (* (sin x) (sinh y)) x)

rewrite40.0ms

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

Calls

3 calls:

2.0ms	(sinh y)
17.0ms	(* (sin x) (sinh y))
19.0ms	(/ (* (sin x) (sinh y)) x)

series354.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(sinh y)
129.0ms	(* (sin x) (sinh y))
136.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.7s

Counts

58 → 58

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	15279
1	285	14099
2	973	13063
done	5002	12180

prune263.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`sinh-def` `clear-num` `frac-2neg`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ (sinh y) (/ x (sin x)))
4.0ms	(/ x (sin x))

series205.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sinh y)
92.0ms	(/ (sinh y) (/ x (sin x)))
30.0ms	(/ x (sin x))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	204	42134
1	503	39791
2	1521	38371
done	5000	38019

prune641.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sinh y) (/ 1 (/ (sin x) x)))
0.1b	(/ (sin x) x)
0.1b	(/ 1 (/ (sin x) x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sinh-def`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 312

Calls

4 calls:

1.0ms	(sinh y)
17.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
12.0ms	(/ (sin x) x)
16.0ms	(/ 1 (/ (sin x) x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sinh y)
107.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
34.0ms	(/ (sin x) x)
43.0ms	(/ 1 (/ (sin x) x))

simplify5.2s

Counts

324 → 324

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	500	159132
1	1312	126051
2	3100	118716
done	5001	116635

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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×	`associate-/r` `associate-l` `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 → 68

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ (sinh y) x)
28.0ms	(* (sin x) (/ (sinh y) x))

series345.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
103.0ms	(/ (sinh y) x)
175.0ms	(* (sin x) (/ (sinh y) x))

simplify3.0s

Counts

77 → 77

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	140	20454
1	340	19000
2	1031	17989
3	3550	17870
done	5003	17598

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	238
1	10	238
done	10	238

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.6s	1914×	body	640	valid
1.1s	1774×	body	1280	valid
890.0ms	10195×	body	80	valid
238.0ms	1098×	body	320	valid
96.0ms	640×	body	160	valid