Details

sample144.0ms

Algorithm

intervals

Results

43.0ms	357×	body	80	valid
38.0ms	49×	body	1280	valid
31.0ms	57×	body	640	valid
10.0ms	25×	body	320	valid
4.0ms	15×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.5b	(/ (* (sin x) (sinh y)) x)

rewrite41.0ms

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*` `insert-posit16` `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 → 52

Calls

3 calls:

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

series319.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
106.0ms	(* (sin x) (sinh y))
126.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	967
1	288
0	119

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite20.0ms

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` `insert-posit16` `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 → 71

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) x)
12.0ms	(* (sin x) (/ (sinh y) x))

series276.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
103.0ms	(/ (sinh y) x)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3520
2	1006
1	346
0	143

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/120 (pow y 5))
0.2b	(* (* y y) (* y 1/6))
0.2b	(* (sin x) (/ (+ (* 1/120 (pow y 5)) (+ (* (* y y) (* y 1/6)) y)) x))
0.3b	(* y 1/6)

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`associate-r`
20×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
12×	`cbrt-unprod`
10×	`times-frac` `associate-l` `pow-prod-down`
6×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `pow-exp` `associate-*r/` `div-inv`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* 1/120 (pow y 5))
22.0ms	(* (* y y) (* y 1/6))
202.0ms	(* (sin x) (/ (+ (* 1/120 (pow y 5)) (+ (* (* y y) (* y 1/6)) y)) x))
6.0ms	(* y 1/6)

series351.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 1/120 (pow y 5))
52.0ms	(* (* y y) (* y 1/6))
218.0ms	(* (sin x) (/ (+ (* 1/120 (pow y 5)) (+ (* (* y y) (* y 1/6)) y)) x))
22.0ms	(* y 1/6)

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
2	1894
1	503
0	188

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) x)
0.1b	(* (* y (* y y)) (sin x))
0.6b	(/ 1/6 (/ x (* (* y (* y y)) (sin x))))
5.0b	(/ x (* (* y (* y y)) (sin x)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
45×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
11×	`associate-/r*`
9×	`associate-/l*`
7×	`div-inv`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
1×	`associate-l` `associate-/r/` `*-commutative`

Counts

4 → 129

Calls

4 calls:

13.0ms	(/ (sin x) x)
66.0ms	(* (* y (* y y)) (sin x))
79.0ms	(/ 1/6 (/ x (* (* y (* y y)) (sin x))))
58.0ms	(/ x (* (* y (* y y)) (sin x)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (sin x) x)
74.0ms	(* (* y (* y y)) (sin x))
130.0ms	(/ 1/6 (/ x (* (* y (* y y)) (sin x))))
71.0ms	(/ x (* (* y (* y y)) (sin x)))

simplify1.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5048
2	2178
1	551
0	219

prune686.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.7s	10387×	body	80	valid
1.3s	1750×	body	1280	valid
1.1s	1788×	body	640	valid
447.0ms	1130×	body	320	valid
229.0ms	628×	body	160	valid