Details

sample77.0ms

Algorithm

intervals

Results

21.0ms	174×	body	80	valid
20.0ms	35×	body	640	valid
19.0ms	27×	body	1280	valid
4.0ms	10×	body	320	valid
3.0ms	10×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

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)

rewrite34.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

25.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5147
3	3212
2	749
1	234
0	104

prune233.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`div-inv`

Counts

2 → 66

Calls

2 calls:

25.0ms	(* x (* (sin y) (/ 1 y)))
13.0ms	(* (sin y) (/ 1 y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (* (sin y) (/ 1 y)))
33.0ms	(* (sin y) (/ 1 y))

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2702
2	897
1	294
0	119

prune164.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite30.0ms

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` `insert-posit16` `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 → 76

Calls

4 calls:

12.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
4.0ms	(cbrt (* x (/ (sin y) y)))
8.0ms	(cbrt (* x (/ (sin y) y)))
5.0ms	(cbrt (* x (/ (sin y) y)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
176.0ms	(cbrt (* x (/ (sin y) y)))
169.0ms	(cbrt (* x (/ (sin y) y)))
126.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5010
3	2324
2	669
1	235
0	102

prune446.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

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	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

rewrite110.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-l` `associate-r/` `-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
105.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

series436.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))
123.0ms	(cbrt (sin y))
72.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1599
1	414
0	137

prune414.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

957.0ms	5302×	body	80	valid
594.0ms	884×	body	1280	valid
449.0ms	976×	body	640	valid
324.0ms	544×	body	320	valid
62.0ms	294×	body	160	valid