Details

sample67.0ms

Algorithm

intervals

Results

17.0ms	27×	body	1280	valid
17.0ms	174×	body	80	valid
17.0ms	35×	body	640	valid
4.0ms	10×	body	320	valid
3.0ms	10×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

10.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series133.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* x (/ (sin y) y))
42.0ms	(/ (sin y) y)

simplify2.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3095
2	755
1	229
0	100

prune251.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`div-exp` `pow-prod-down` `associate-*r/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `insert-posit16` `add-log-exp`
1×	`div-inv`

Counts

2 → 62

Calls

2 calls:

36.0ms	(* x (* (sin y) (/ 1 y)))
12.0ms	(* (sin y) (/ 1 y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* x (* (sin y) (/ 1 y)))
53.0ms	(* (sin y) (/ 1 y))

simplify2.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	2818
2	1001
1	288
0	115

prune235.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
9.2b	(cbrt (* x (/ (sin y) y)))
9.2b	(cbrt (* x (/ (sin y) y)))
9.2b	(cbrt (* x (/ (sin y) y)))

rewrite28.0ms

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×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 68

Calls

4 calls:

12.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
7.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))

series711.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
187.0ms	(cbrt (* x (/ (sin y) y)))
150.0ms	(cbrt (* x (/ (sin y) y)))
147.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	1923
2	685
1	232
0	98

prune461.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
4.0b	(* (* x (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-l` `associate-r/` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
4.0ms	(cbrt (sin y))
89.0ms	(* (* x (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))

series576.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (sin y))
159.0ms	(cbrt (sin y))
159.0ms	(cbrt (sin y))
81.0ms	(* (* x (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1420
1	414
0	133

prune314.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5302×	body	80	valid
618.0ms	884×	body	1280	valid
528.0ms	976×	body	640	valid
264.0ms	544×	body	320	valid
67.0ms	294×	body	160	valid