Details

sample71.0ms

Algorithm

intervals

Results

15.0ms	42×	body	640	valid
15.0ms	26×	body	1280	valid
14.0ms	157×	body	80	valid
6.0ms	20×	body	320	valid
2.0ms	11×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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

Counts

2 → 63

Calls

2 calls:

31.0ms	(* x (/ (sin y) y))
20.0ms	(/ (sin y) y)

series163.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* x (/ (sin y) y))
53.0ms	(/ (sin y) y)

simplify5.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5040
3	3292
2	730
1	234
0	102

prune840.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

1.0ms	(log1p (/ (sin y) y))
1.0ms	(expm1 (log1p (/ (sin y) y)))
16.0ms	(* x (expm1 (log1p (/ (sin y) y))))
18.0ms	(/ (sin y) y)

series849.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(log1p (/ (sin y) y))
521.0ms	(expm1 (log1p (/ (sin y) y)))
157.0ms	(* x (expm1 (log1p (/ (sin y) y))))
92.0ms	(/ (sin y) y)

simplify5.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5086
3	2338
2	714
1	241
0	125

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (sin y) (/ 1 y)))
0.0b	(expm1 (log1p (* (sin y) (/ 1 y))))
0.1b	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
0.2b	(* (sin y) (/ 1 y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
5×	`expm1-log1p-u` `prod-exp`
4×	`log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `1-exp` `log1p-expm1` `associate-*r/` `un-div-inv` `div-inv` `expm1-udef`

Counts

4 → 80

Calls

4 calls:

1.0ms	(log1p (* (sin y) (/ 1 y)))
0.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
15.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
47.0ms	(* (sin y) (/ 1 y))

series1.6s

Counts

4 → 12

Calls

4 calls:

146.0ms	(log1p (* (sin y) (/ 1 y)))
848.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
345.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
181.0ms	(* (sin y) (/ 1 y))

simplify6.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5012
3	3064
2	892
1	342
0	149

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
32.0ms	(* (cbrt x) (cbrt x))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.3s	(cbrt x)
389.0ms	(cbrt x)
620.0ms	(cbrt x)
423.0ms	(* (cbrt x) (cbrt x))

simplify16.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
4	3874
3	1030
2	377
1	141
0	65

prune743.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes875.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end1.0ms

sample5.8s

Algorithm

intervals

Results

2.0s	5229×	body	80	valid
1.8s	1008×	body	640	valid
1.4s	896×	body	1280	valid
225.0ms	566×	body	320	valid
67.0ms	301×	body	160	valid