Details

sample114.0ms

Algorithm

intervals

Results

32.0ms	63×	body	1280	valid
24.0ms	326×	body	80	valid
18.0ms	54×	body	640	valid
10.0ms	42×	body	320	valid
3.0ms	20×	body	160	valid

simplify2.2s

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	144	7
5	281	7
6	847	7
7	4286	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
12.1b	(/ (* (sin x) (sinh y)) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

22.0ms	(* (sin x) (sinh y))
18.0ms	(/ (* (sin x) (sinh y)) x)

series237.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (sin x) (sinh y))
125.0ms	(/ (* (sin x) (sinh y)) x)

simplify798.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	108	472
1	274	451
2	1530	391
done	5001	391

prune113.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

7.0ms	(/ (sinh y) x)
18.0ms	(* (sin x) (/ (sinh y) x))

series211.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(/ (sinh y) x)
104.0ms	(* (sin x) (/ (sinh y) x))

simplify1.3s

Counts

66 → 66

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	132	672
1	328	638
2	1594	579
done	5000	572

prune172.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/6 (/ (pow y 3) x))
0.2b	(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
1.1b	(/ (pow y 5) x)
4.7b	(/ (pow y 3) x)

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
85×	`add-sqr-sqrt`
70×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
34×	`unpow-prod-down`
26×	`add-exp-log`
22×	`cube-prod`
19×	`associate-/l*`
15×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`associate-*r/`
9×	`div-exp`
8×	`pow1`
7×	`cube-mult` `unpow3`
6×	`associate-l` `associate-/r*` `unswap-sqr`
5×	`prod-exp`
4×	`frac-add` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `*-commutative` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 199

Calls

4 calls:

38.0ms	(* 1/6 (/ (pow y 3) x))
208.0ms	(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
12.0ms	(/ (pow y 5) x)
14.0ms	(/ (pow y 3) x)

series320.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 1/6 (/ (pow y 3) x))
210.0ms	(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
38.0ms	(/ (pow y 5) x)
30.0ms	(/ (pow y 3) x)

simplify2.5s

Counts

211 → 211

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	306	2782
1	857	2446
2	4465	2308
done	5000	2306

prune849.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
2.0b	(/ (pow (* (cbrt y) (cbrt y)) 5) (* (cbrt x) (cbrt x)))
2.4b	(/ (pow (cbrt y) 5) (cbrt x))
4.7b	(/ (pow y 3) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

101×	`times-frac`
75×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`cbrt-prod`
56×	`unpow-prod-down`
34×	`add-exp-log`
27×	`associate-/l*`
14×	`div-exp`
13×	`sqr-pow`
12×	`cube-prod`
10×	`associate-/r*` `add-cbrt-cube`
6×	`pow-exp` `prod-exp`
4×	`pow1` `cbrt-undiv` `cube-mult` `pow-to-exp` `unpow3` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
1×	`pow1/3` `cbrt-unprod`

Counts

4 → 197

Calls

4 calls:

1.0ms	(cbrt y)
20.0ms	(/ (pow (* (cbrt y) (cbrt y)) 5) (* (cbrt x) (cbrt x)))
20.0ms	(/ (pow (cbrt y) 5) (cbrt x))
15.0ms	(/ (pow y 3) x)

series517.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt y)
145.0ms	(/ (pow (* (cbrt y) (cbrt y)) 5) (* (cbrt x) (cbrt x)))
126.0ms	(/ (pow (cbrt y) 5) (cbrt x))
30.0ms	(/ (pow y 3) x)

simplify1.1s

Counts

209 → 209

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	329	2828
1	639	2536
2	2361	2348
done	5002	2331

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes183.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	58
1	38	58
done	38	58

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	1851×	body	1280	valid
878.0ms	10328×	body	80	valid
566.0ms	1095×	body	320	valid
545.0ms	1978×	body	640	valid
94.0ms	649×	body	160	valid