Details

sample111.0ms

Algorithm

intervals

Results

33.0ms	62×	body	1280	valid
24.0ms	308×	body	80	valid
21.0ms	57×	body	640	valid
8.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4195
6	882
5	295
4	146
3	69
2	32
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.0b	(/ (* (sin x) (sinh y)) x)

rewrite42.0ms

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×	`expm1-log1p-u` `sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

2.0ms	(sinh y)
17.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) x)

series381.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(sinh y)
119.0ms	(* (sin x) (sinh y))
156.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1593
1	299
0	122

prune386.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `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 → 74

Calls

3 calls:

2.0ms	(sinh y)
34.0ms	(* (sin x) (/ (sinh y) x))
12.0ms	(/ (sinh y) x)

series375.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
173.0ms	(* (sin x) (/ (sinh y) x))
114.0ms	(/ (sinh y) x)

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1696
1	358
0	146

prune342.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
16.4b	(cbrt (/ (sinh y) x))
16.4b	(cbrt (/ (sinh y) x))
16.4b	(cbrt (/ (sinh y) x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

32.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))

series902.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
203.0ms	(cbrt (/ (sinh y) x))
208.0ms	(cbrt (/ (sinh y) x))
224.0ms	(cbrt (/ (sinh y) x))

simplify1.5s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1550
1	393
0	195

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
12.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
5.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
6.0ms	(cbrt (* (sin x) (/ (sinh y) x)))

series1.6s

Counts

4 → 12

Calls

4 calls:

412.0ms	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
405.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
352.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
389.0ms	(cbrt (* (sin x) (/ (sinh y) x)))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1280
1	345
0	130

prune642.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes227.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	2051×	body	640	valid
866.0ms	10301×	body	80	valid
821.0ms	1811×	body	1280	valid
260.0ms	1147×	body	320	valid
155.0ms	591×	body	160	valid