Details

sample111.0ms

Algorithm

intervals

Results

28.0ms	57×	body	1280	valid
24.0ms	320×	body	80	valid
22.0ms	65×	body	640	valid
7.0ms	29×	body	320	valid
3.0ms	18×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	4266
6	847
5	280
4	144
3	69
2	32
1	15
0	6

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.0b	(/ (sin x) (/ x (sinh y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

2.0ms	(sinh y)
4.0ms	(/ x (sinh y))
14.0ms	(/ (sin x) (/ x (sinh y)))

series390.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sinh y)
167.0ms	(/ x (sinh y))
140.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2660
1	533
0	215

prune698.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

452×	`times-frac`
214×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`div-inv`
27×	`add-exp-log`
17×	`associate-/r*` `add-cbrt-cube` `div-exp`
16×	`associate-/l*`
15×	`sinh-def` `associate-/r/`
9×	`cbrt-undiv`
3×	`pow1` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/l/`

Counts

3 → 268

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ (sin x) x)
32.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(sinh y)
58.0ms	(/ (sin x) x)
167.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify874.0ms

Counts

277 → 277

Iterations

Iter	Nodes
done	5000
1	1612
0	485

prune994.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh y)
24.0ms	(* (/ (sin x) x) (sinh y))
8.0ms	(/ (sin x) x)

series317.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(sinh y)
157.0ms	(* (/ (sin x) x) (sinh y))
51.0ms	(/ (sin x) x)

simplify1.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1481
1	327
0	134

prune412.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))))
0.0b	(* (pow y 5) 1/120)
0.1b	(* (pow y 3) 1/6)
1.0b	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
103×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
19×	`associate-l`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-r` `prod-exp` `div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `cube-prod` `div-exp` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `unpow3`

Counts

4 → 179

Calls

4 calls:

47.0ms	(/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))))
9.0ms	(* (pow y 5) 1/120)
10.0ms	(* (pow y 3) 1/6)
61.0ms	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

series680.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120))))
75.0ms	(* (pow y 5) 1/120)
74.0ms	(* (pow y 3) 1/6)
284.0ms	(/ (sin x) (/ x (+ y (+ (* (pow y 3) 1/6) (* (pow y 5) 1/120)))))

simplify1.6s

Counts

191 → 191

Iterations

Iter	Nodes
done	5000
2	4227
1	769
0	301

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	10293×	body	80	valid
985.0ms	1829×	body	1280	valid
801.0ms	2007×	body	640	valid
373.0ms	1072×	body	320	valid
97.0ms	610×	body	160	valid